Rotary drill bits exhibiting sequences of substantially continuously variable cutter backrake angles

Information

  • Patent Grant
  • 6536543
  • Patent Number
    6,536,543
  • Date Filed
    Wednesday, December 6, 2000
    24 years ago
  • Date Issued
    Tuesday, March 25, 2003
    21 years ago
Abstract
A rotary-type earth-boring drag bit with cutters oriented at varied rake angles and methods for designing such drag bits. Specifically, cutters that are located sequentially adjacent radial distances from a longitudinal axis of the drill bit have cutting faces that are oriented at rake angles that differ from one another. These cutters may be located on the same blade of the drag bit or on different blades of the drag bit. The rake angles at which the cutting faces of these cutters are oriented may be based, at least in part, on the relative radial distances these cutters are spaced from the longitudinal axis of the drag bit, on the vertical positions of these cutters along the longitudinal axis of the drag bit, or in response to actual or simulated evaluations of the use of the drag bit to drill a subterranean formation.
Description




BACKGROUND OF THE INVENTION




1. Field of the Invention




The present invention relates generally to rotary bits for drilling subterranean formations. More specifically, the invention relates to fixed cutter, or so-called “drag” bits, employing superabrasive cutters exhibiting continuously varying cutter backrake angles along different locations or zones on the face of the bit, the variations being tailored to improve the transition between portions of the bit which may contain different cutter backrake angles as well as optimize the performance of the drill bit.




2. State of the Art




Conventional rotary-type earth-boring drill bits typically include cutting elements, or “cutters”, arranged thereon so as to facilitate the cutting away of a subterranean formation in a desired manner. Cutters, typically including polycrystalline diamond compacts (PDCs), are oriented in cutter pockets of the bit, which are oriented so as to protect the cutter and provide clearance at the trailing edge of the cutter as it moves axially while drilling. The angle at which a cutting face of a cutter is oriented relative to a wall of a bore hole being formed is referred to as “rake”. If the angle between a bore hole surface and a cutter face is 90°, the rake is said to be neutral, or zero degrees. If the angle between the cutting face of a cutter and the adjacent surface of the bore hole being formed is less than 90°, the rake angle is negative, and is typically termed “backrake”. The amount of backrake is equal to the angle the cutting face of the cutter is tilted from the neutral rake position. For example, a cutter oriented with its cutting face at a 70° angle to the adjacent surface of the bore hole being formed has a 20° backrake (90°−70°=20°). When the rake angle between the cutting face of a cutter and the adjacent bore hole surface is greater than 90°, the cutter is oriented with a positive, or aggressive, rake angle, or a “frontrake”, which is measured in a similar manner to that in which backrake is measured.




Recent laboratory testing and modeling have demonstrated that cutter backrake angles may affect drilling performance characteristics. Specifically, increasing the backrake angle of a cutter appears to improve drilling performance after the cutter begins to wear. The wear flat of a cutter oriented at a larger backrake angle is smaller than the wear flat of a cutter oriented at a smaller (i.e., closer to neutral) backrake angle for a given amount of diamond volume removed. This means that as the diamond begins to wear away from the cutter, cutters oriented at larger backrake angles have smaller “flat” areas than do cutters oriented at smaller backrake angles. Smaller wear flats on cutters essentially provide a more effective cutting geometry. A sharp cutter (i.e., small wear flat) contacts a formation with less area and the same amount of force, thereby inducing larger stresses in the formation, increasing cutting efficiency. In addition, it has been found that orienting cutters to have larger backrake angles does not detrimentally affect the performance of the bit as cutter wear increases. Moreover, cutters that are oriented to have larger backrake angles typically provide better impact resistance than cutters that are oriented to have smaller backrake angles.




Although the aforementioned increased impact resistance and advantageous wear flat behavior is beneficial, the detriment to large backrake angles is that more weight on bit (WOB) is required to drill at a given rate of penetration (ROP). Therefore, generally, an all-encompassing increase in cutter backrake angles may cause the drill bit to require such a great WOB so as to render the bit undrillable.




Cutter rake not only affects the relationship between the ROP and the WOB but also determines the aggressiveness of the bit. Thus, the rakes of the cutters on a drag bit can affect the performance and drilling characteristics of the bit. The cutters on many drag bits are oriented so as to be backraked due to the increased fracture resistance of cutters with relatively large backrakes.




Current PDC drag bit design typically includes cutters oriented at different backrake angles depending upon their locations upon the bit. For example, cutters that are located within about a third of the bit radius from the bit's longitudinal axis are typically oriented with nominal 15° backrake angles. Cutters located in the shoulder area of the bit are oriented with backrake angles of about 20°. Cutters that are positioned near the gage section of the bit are typically oriented so as to have even higher backrake angles, for instance, about 30°. This discontinuous change in cutter backrake angle abruptly changes cutter behavior and performance between each area of the bit. This discontinuity may be exaggerated by the effective rake angles of the cutters.




Each cutter located on a bit crown at a given radial distance from the longitudinal axis of the bit will traverse a helical path upon rotation of the bit. The geometry (pitch) of the helical path is determined by the ROP of the bit (i.e., the rate at which the bit drills into a formation) and the rotational speed of the bit. Mathematically, it can be shown that the helical angle traversed by a cutter relative to a horizontal plane (i.e., a plane normal to the longitudinal axis of the bit) depends upon the distance the cutter is spaced apart from the longitudinal axis of the bit. For a given ROP and rotary speed, cutters located closer to the longitudinal axis have greater helical angles than those of cutters positioned greater distances from the longitudinal axis of the bit. Essentially, the greatest change in helical angles occurs for cutters positioned about 1½ inches to about 2 inches from the bit's longitudinal axis. In this region, the helical angles of the cutters during rotation of the bit vary from near 90° for cutters nearest the longitudinal axis of the bit to about 7° for cutters positioned about 2 inches from the longitudinal axis. The change in helical angle for cutters spaced about 2 inches from the longitudinal axis up to the bit gage is relatively small.




Effective cutter backrake is the angle between the cutter and the formation after correcting for the aforementioned helical angle during drilling (i.e., subtracting the helical angle of a cutter during drilling from the rake angle of the cutter). Since cutters may be at different radial locations, their cutting speeds will vary linearly with their radial position. This phenomenon of variance in “effective rake” of a cutter with radial location, bit rotational speed, and ROP is known in the art and a more detailed discussion thereof may be found in U.S. Pat. No. 5,377,773, assigned to the assignee of the present invention, the disclosure of which is hereby incorporated herein in its entirety by this reference.




Planar state of the art PDCs, as well as thermally stable products (TSPs) and other known types of cutters, are typically set at a given backrake angle on the bit face to enhance their ability to withstand axial loading of the bit, which is caused predominantly by the downward force applied to the bit during drilling, WOB. By comparing the effective backrake of a cutter, it is easy to see that cutters positioned within about 2 inches of the longitudinal axis of a bit are angled more aggressively than more distantly positioned cutters with the same or similar actual backrake angles.




As a result of the different effective rake angles of cutters that are oriented on a bit so as to have the same actual rake angles, these cutters wear differently, depending upon their radial distances from the longitudinal axis of the bit. Attempts have been made to correct for this problem through cutter redundancy, but the effectiveness of cutter redundancies is limited by the number of blades on the bit and by space constraints.




U.S. Pat. No. 5,979,576 to Hansen t al. (hereinafter “Hansen”), assigned to the assignee of the present invention, discloses anti-whirl drag bits with “flank” cutters placed in a so-called “cutter-devoid zone” at or near the gage area thereof. Typically, a bearing pad would be positioned on the bit in this region, and would accept the imbalance force, thereby keeping the bit stable. Instead, it is proposed in Hansen to place cutters located within the normally cutter-devoid area at a lesser height from the bit profile than other cutters and at positive, neutral, or negative rake angles. These cutters only engage the formation when the cutting zone cutters dull and the bit has a reduced tendency to whirl, or when the cutting zone cutters achieve relatively high depths of cut, such as when reaming or under high rates of penetration. Under high depths of cut, these cutters engage the formation and prevent damage to the bearing zone and thereby extend the life of the anti-whirl drag bit. While Hansen discloses flank cutters oriented at specific angles, Hansen does not disclose orienting the flank cutters on a bit at different rake angles from one another.




U.S. Pat. No. 5,549,171 to Mensa-Wilmot et al. discloses drag bits with sets of cutters which are generally spaced the same radial distance from the longitudinal axis of the bit position but have differing backrakes. This may be accomplished by placing cutters with different backrakes onto different blades of the drag bit. Each set of cutters includes cutters oriented at the same rake angles. The cutters of different sets on a single blade may each have the same rake angles, or longitudinally adjacent sets of cutters offset, with a single blade of the bit including cutters oriented at different rake angles. The different rake angles of the cutters on each blade are not, however, angles that vary continuously (i.e., increase or decrease) along the height of the drag bit or with various radial distances from a longitudinal axis of the drag bit.




U.S. Pat. No. 5,314,033 to Tibbitts (hereinafter “Tibbitts”), assigned to the assignee of the present invention, discloses the use of “positive”-raked cutters in combination with negative or neutral rake cutters in such a manner that the cutters work cooperatively with one another. Effectively positive raked cutters are disclosed as aggressively initiating the cutting of the formation, whereas effectively negative raked cutters are disclosed as skating or riding on the formation. This causes two vastly different cutting mechanisms to coincide on the drill bit, with sudden changes at the coincident boundary between areas with different effective backrakes. Tibbitts does not, however, disclose a bit that includes regions on the face thereof with cutters oriented at different, continuously varying positive or negative rake angles.




The inventors are not aware of any art that discloses drag bits with fixed cutters at a particular region of the bit that are oriented so as to have different, continuously varied rake angles.




BRIEF SUMMARY OF THE INVENTION




The present invention includes rotary drag bits with fixed cutters having substantially continuously varied rake angles corresponding to the locations of the cutters relative to the longitudinal axis of the drag bit. As used herein, the term “rake” refers to the radial angle of a cutting face of a cutter relative to a reference line perpendicular to a surface of a formation being drilled, as described previously herein.




In one embodiment of a drag bit incorporating teachings of the present invention, cutters are oriented to have rake angles that increase proportionately with an increase of the radial distance of cutter locations from the longitudinal axis of the drag bit.




In another embodiment of the present invention, a drag bit includes a face with a plurality of radially separate cutter zones or regions thereon. Each cutter zone includes a number of cutters oriented so as to have the same backrake angle. The cutters of one zone on the face of the drag bit will, however, be oriented to have rake angles that differ from the cutters located within the one or more other zones on the face of the drag bit. In regions where two adjacent zones border one another, cutters adjacent to the border are oriented so as to have rake angles that provide a smooth transition between the rake angles of cutters in each of the adjacent zones. In addition, a given zone or region may include a sequence of cutters having increasing, decreasing, increasing then decreasing, decreasing then increasing, or cyclical variations in rake angles.




Another embodiment of drag bit according to the present invention also includes fixed cutters with at least a region or zone over the bit face which are oriented to have rake angles that vary continuously, but not necessarily proportionately to the radial distance of each of the cutters from the longitudinal axis of the drag bit. Rather, other factors, such as the longitudinal location or the angle of the helical path of each cutter, may be taken into account in determining the rake angle at which each of the cutters is oriented.




A drag bit incorporating teachings of the present invention may include at least three cutters oriented so as to have rake angles that increase or decrease sequentially based upon the relative radial locations of the cutters on the drag bit, the relative longitudinal positions of the cutters on the drag bit, or the relative positions of the cutters on a blade of the drag bit.




The rake angles of cutters on drag bits of the present invention may take into account the angle of the helical path each cutter travels during rotation of the drag bit. The angle of the helical path may be accounted for by continuously varying the effective rake angles of the cutters depending upon their position on the drag bit so as to counteract the effective rakes of the cutters caused by the angles of the helical paths of the cutters.




It is also contemplated that the rake angles of different cutters may be varied in response to bit performance factors. By way of example, weight on bit as a function of torque data may be analyzed and cutters within at least one region on the face of a drag bit may be oriented at rake angles that are continuously varied so as to provide a torque response as a function of weight on bit. As another example, the rake angles at which different cutters within a particular region of a face of a drag bit are oriented may be selected in response to bit stability data. Directional drilling criteria may also be used to determine the different, continuously varied rake angles of cutters within a particular region on a face of a drag bit. Other examples of factors that may be considered to determine the specific, continuously varied rake angle of different cutters on a face of a drag bit include, but are not limited to, wear characteristics, formation type, cutter loading, rock stresses, filtration and filtration gradients versus design depth of cut in permeable rocks, and thermal loading.




Other features and advantages of the present invention will become apparent to those of ordinary skill in the art through consideration of the ensuing description, the accompanying drawings, and the appended claims.











BRIEF DESCRIPTION OF THE DRAWINGS





FIG. 1

is a side cross-sectional elevation of a five-bladed earth-boring rotary-type drag bit;





FIG. 2

is a bottom elevation of the drag bit of

FIG. 1

;





FIG. 3A

is a side cross-sectional elevation of a bit blade section containing one cutter pocket;





FIG. 3B

is a side cross-sectional elevation of the bit blade section illustrated in

FIG. 3A

, with a cutter disposed in the cutter pocket and illustrating the rake angle of the cutter;





FIGS. 4A-4E

are side elevations of each of the five blades of the drag bit of

FIG. 1

, depicting radial cutter placement in accordance with the present invention;





FIGS. 4F-4T

graphically depict embodiments for the radial position relationships of the cutters shown in

FIGS. 4A-4E

and the rake angles of each of these cutters;





FIG. 5A

schematically depicts a cutter design layout for a drill bit and illustrates radial and longitudinal cutter positions;





FIGS. 5B-5E

graphically depict embodiments for vertical position relationships of the cutters shown in FIG.


5


A and the rake angles of these cutters;





FIG. 6A

is a side elevation of a bit blade depicting the radial positions of cutters along the blade;





FIGS. 6B-6G

graphically depict the relationships between the radial positions of the cutters shown in

FIG. 6A

along a single blade and the rake angles of each of these cutters;





FIG. 7A

is a side elevation of a bit blade depicting the vertical positions of the cutters carried thereby;





FIGS. 7B-7F

graphically depict the relationships between the vertical positions of the cutters on the blade shown in FIG.


7


A and the rake angles of each of these cutters;





FIG. 8

graphically depicts the amount of wear exhibited by each of the cutters of the drag bit that is schematically represented in

FIG. 5A

;





FIG. 9A

graphically illustrates that the cutters of the drag bit of

FIG. 5A

have cutting faces oriented at substantially the same backrake angles; and





FIGS. 9B and 9C

graphically depict reorientation of the cutters of the drag bit of

FIG. 5A

in response to the wear data shown in FIG.


9


A.











DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS




With reference to

FIGS. 1 and 2

, an exemplary rotary-type earth-boring fixed cutter drill bit


10


, which is also referred to simply as a “drag bit”, is illustrated.

FIG. 1

depicts drag bit


10


as it could be oriented while drilling a formation.

FIG. 2

illustrates a face


12


of drag bit


10


, which leads drag bit


10


in drilling a formation.




As shown in

FIG. 1

, drag bit


10


may comprise a bit body formed as a mass of erosion-resistant and abrasion-resistant particulate material


200


, such as tungsten carbide (WC), infiltrated with a tough and a ductile binder material


201


, such as an iron-nickel alloy, formed over a steel blank


202


. Alternatively, drag bit


10


may comprise a steel body. In either event, drag bit


10


includes a shank


204


with a threaded region


206


configured to attach drag bit


10


to a drill string (not shown).




As depicted, drag bit


10


includes five blades


20


that extend generally radially over bit face


12


toward the gage


22


of drag bit


10


. Blades


20


may include recesses formed therein, which are referred to as cutter pockets


30


, that carry cutting elements, which are also referred to herein as cutters


150


for simplicity. Cutters


150


are oriented so as to cut into a formation upon rotation of drag bit


10


. The recessed areas located between gage pads


18


at upper ends of adjacent blades


20


extending radially beyond the bit body are referred to as junk slots


16


.




Drag bit


10


also includes internal passages


80


, which communicate drilling fluid from the drill string (not shown), through shank


204


, to face


12


. Passages


80


communicate with face


12


by way of apertures


14


formed in face


12


. Apertures


14


are preferably configured to receive nozzles (not shown). The nozzles may be positioned adjacent to face


12


at the ends of passages


80


so as to aim drilling fluid ejected from passages


80


in directions that will facilitate the cooling and cleaning of cutters


150


, as well as the removal of formation cuttings and other debris from face


12


of drag bit


10


via junk slots


16


.





FIG. 3A

, which illustrates a section of a blade


20


that includes one cutter pocket


30


, the sides of which (see

FIG. 2

) have been omitted for clarity. Each cutter pocket


30


includes a back surface


32


, which is oriented at an angle that imparts a cutting face


160


of a cutter


150


disposed within cutter pocket


30


with a desired rake angle


40


relative to a surface of a formation being drilled, as shown in FIG.


3


B. Cutter


150


may be secured within cutter pocket


30


by known processes, such as by brazing or, in some particulate-based drag bits, by positioning cutters


150


carrying TSP compacts within pockets


30


prior to infiltrating the particulate matrix of the bit body. As illustrated in

FIG. 3B

, cutting face


160


is oriented with a negative rake angle


40


, or backrake. In the present invention, however, cutters


150


may also be oriented on drag bits


10


with neutral rake angles or with positive rake angles relative to a surface of the formation being drilled.




The specific manner in which rake angles


40


may be continuously varied in different design embodiments may depend on many factors, including, without limitation, the design of drag bit


10


(e.g., the shape of the profile of drag bit


10


), the degree of cutter


150


redundancy, the thickness of the compact, or diamond table, on each cutter


150


, the formation to be drilled, the formation pressure (i.e., bore hole stress), and the depth to which a bore hole is to be drilled in the formation. Desired weight on bit or torque responses, as well as directional drilling considerations, may influence embodiments of continuously varying rake angles


40


of cutters


150


. Stability data may also be a basis for designing a drag bit


10


with cutters


150


oriented with their cutting faces


160


at continuously varying rake angles


40


.




In one exemplary embodiment of the present invention, which is illustrated by

FIGS. 4A-4M

, a drag bit


10


may carry cutters


150


that are oriented so as to have rake angles that are at least partially dependent upon the radial distances of these cutters


150


from a longitudinal axis


44


of drag bit


10


.





FIGS. 4A-4E

respectively illustrate each of the different blades


20


(


20




a


,


20




b


,


20




c


, etc.,) of drag bit


10


(

FIGS. 1 and 2

) and the cutters


150


(


150


A-


150


V) carried thereby. As shown in

FIGS. 4A-4E

, cutters


150


are labeled A-V in sequence, depending upon their respective radial distances from longitudinal axis


44


, cutter


150


A being located closest to longitudinal axis


44


and cutter


150


V being most distant from longitudinal axis


44


.





FIGS. 4F-4M

are graphs that depict different exemplary relationships between the rake angles of cutters


150


and their relative radial distances from longitudinal axis


44


. As indicated in each of

FIGS. 4F-4M

, drag bits according to each of these embodiments include at least one region


70


with cutters


150


having cutting faces


160


that are oriented at rake angles


40


(

FIG. 3B

) that continuously vary within that region


70


. Where appropriate, regions


72


of the graphs are labeled in which a drag bit


10


includes at least two cutters


150


positioned sequential distances (e.g., cutters


150


C and


150


D) from longitudinal axis


44


that have cutting faces


160


with rake angles


40


that are unequal and vary by less than about five degrees.




As shown in

FIG. 4F

, the relationship between the radial distances of cutters


150


from longitudinal axis


44


and the rake angles


40


(

FIG. 3B

) of cutter


150


may be substantially linear. While

FIG. 4F

depicts cutters


150


being oriented with cutting faces


160


at more negative rake angles


40


the more radially distant cutters


150


are spaced from longitudinal axis, the rake angles


40


of cutting faces


160


of cutters


150


may alternatively become less negative (i.e, more positive) the greater the radial distance between cutters


150


and longitudinal axis


44


, as shown in FIG.


4


F.




As an alternative, cutting faces


160


of cutters


150


may be positioned at rake angles that vary, in a somewhat cyclical relationship, as depicted in FIG.


4


G. As illustrated in

FIG. 4G

, the rake angles


40


of cutting faces


160


of cutters


150


are independent of the radial distance of each cutter


150


from longitudinal axis


44


. Rather, the rake angle


44


of each cutter


150


(e.g., cutter


150


C) may be related to the rake angle


40


of the previous, more closely spaced cutter


150


(e.g., cutter


150


B) or upon the rake angle


40


of the next, more distantly spaced cutter


150


(e.g., cutter


150


D). By way of example,

FIG. 4G

depicts cutters


150


B and


150


D as having cutting faces


160


that are oriented with a negative rake of about 25°, while cutting face


160


of cutter


150


C, which is spaced a radial distance from longitudinal axis


44


that lies between the distances that cutters


150


B and


150


D are spaced radially from longitudinal axis


44


, is oriented with a negative rake of about 15°.





FIG. 4H

graphically depicts the orientation of cutters


150


on a drag bit


10


that includes three regions. Cutting faces


160


of cutters


150


A-


150


G, which are located in a first region of drag bit


10


and are located closest to longitudinal axis


44


thereof, are oriented so as to have substantially the same rake angles


40


. A second, intermediate region


70


/


72


of drag bit


10


includes cutters with cutting faces


160


oriented at a variety of different rake angles


40


. As shown, the rake angles


40


of cutting faces


160


of cutters


150


H-


150


P become less negative the further cutters


150


IH-


150


P in second intermediate region


70


/


72


are radially spaced from longitudinal axis


44


. Cutters


150


within region


70


/


72


are arranged with their cutting faces


160


oriented at different rake angles


40


, the rake angle


40


of cutting face


160


of each sequential cutter


150


H,


150


I,


150


J, etc. varying by less than about five degrees from the rake angles


40


of the cutting faces


160


of the previous and subsequent cutters


150


. A third region of drag bit


10


, which is most distantly radially spaced from longitudinal axis


44


, includes cutters


150


Q-


150


V having cutting faces


160


that are oriented at substantially the same rake angles


40


relative to a surface of a formation to be drilled. The rake angles


40


of the cutting faces


160


of cutters


50


A-


150


G, located in the first region of face


12


of drag bit


10


, are less negative than the rake angles


40


of the cutting faces


160


of cutting elements


150


Q-


150


V, which are located in the third region of face


12


.





FIG. 4I

graphically represents another drag bit


10


with cutters


150


located in three regions of face


12


. Conversely to the arrangement of cutters


150


illustrated in

FIG. 4H

, the cutting faces


160


of cutters


150


A-


150


G in a first region of face


12


are oriented with more negative rake angles


40


than are cutting faces


160


of cutters


150


Q-


150


V located in the third region of face


12


. To provide a transition between the rake angles


40


of the cutting faces


160


of cutters


150


of the first and third regions, the rake angles


40


of cutting faces


160


of cutters


150


H-


150


P within the second, intermediate region


70


/


72


of face


12


become less negative the more distantly each cutter


150


is positioned from longitudinal axis


44


of drag bit


10


. As in the graphical illustration of

FIG. 4H

,

FIG. 4I

illustrates that rake angles


40


of cutting faces


160


of cutters


150


within region


70


/


72


are arranged with their cutting faces


160


oriented at different rake angles


40


and that the rake angle


40


of cutting face


160


of each sequential cutter


150


H,


150


I,


150


J, etc. varies by less than about five degrees from the rake angles


40


of the cutting faces


160


of the previous and subsequent cutters


150


.





FIG. 4J

also graphically represents the rake angles


40


of the cutting faces


160


of cutters


150


arranged in three regions of a face


12


of a drag bit. Cutters


150


A-


150


F, which are located closest to a longitudinal axis


44


of drag bit


10


, are carried upon a first region of face


12


. Cutters


150


G-


150


N are spaced a greater radial distance from longitudinal axis


44


than are cutters


150


A-


150


F and are located on an intermediate, second region of face


12


. The third region of face


12


carries cutters


150


O-


150


V, which are spaced even greater radial distances from longitudinal axis


44


. While

FIG. 4J

depicts cutters


150


A-


150


F and cutters


150


O-


150


V as having cutting faces


160


that are oriented at substantially the same rake angles


40


, cutters


150


within the second region of face


12


that are spaced sequential radial distances from longitudinal axis


44


(e.g., cutters


150


G and


150


H) have cutting faces


160


that are oriented at different rake angles


40


commencing with a decrease in backrake followed by an increase in a nonlinear progression, with cutting faces


160


of cutters


150


spaced intermediate radial distances from longitudinal axis


44


(e.g., cutter


150


K) being oriented at the most negative rake angles


40


.





FIGS. 4K-4T

graphically depict other arrangements of cutters


150


including regions with continuously variable rake angles


40


that incorporate teachings of the present invention.





FIGS. 5A-5L

schematically and graphically depict another embodiment of a design layout for cutters


150


′ for a drag bit


10


′, wherein rake angles


40


of the cutting faces


160


′ of cutters


150


′ are related, at least in part, to the vertical positions of cutters


150


′ relative to a longitudinal axis


44


′ of drag bit


10


′.




As illustrated in

FIG. 5A

, drag bit


10


′ includes a face


12


′ and blades


20


′ upon which a plurality of cutters


150


A′-


150


V′, which are collectively referred to as cutters


150


′, are oriented. Although all of cutters


150


′ are depicted in

FIG. 5A

as being located on a single blade


20


′,

FIG. 5A

merely depicts the positions of cutters


150


′ relative to one another with respect to both a longitudinal axis


44


′ of drag bit


10


′ and a vertical position along longitudinal axis


44


′. In actuality, cutters


150


′ are carried on various blades


20


′, the cutter positions having been rotated into a single plane for clarity. The sequence of cutters


150


A′-


150


V′ is, however, based on the relative radial distances of cutters


150


A′-


150


V′ from longitudinal axis


44


′, with cutter


150


A′ being located closest to longitudinal axis


44


′ and cutter


150


V′ being radial spaced the greatest distance from longitudinal axis


44


′.





FIGS. 5B-5E

depict various exemplary relationships between the vertical position of each cutter


150


′ along the longitudinal axis


44


′ of drag bit


10


′ and the rake angle


40


of the cutting face


160


′ of each cutter


150


′. As shown in

FIGS. 5B-5E

, each of the exemplary relationships between the vertical positions of cutters


150


′ and the rake angles


40


at which cutting faces


160


′ of cutters


150


′ are oriented includes regions


70


on face


12


′ that carry sets of two or more sequentially positioned cutters


150


′ that are oriented such that the rake angles


40


of their respective cutting faces


160


′ vary continuously. In at least some regions


72


, the rake angles


40


of sequentially positioned cutters


150


′ vary by less than about five degrees.




As shown in

FIG. 5A

, of cutters


150


A′-


150


V′, cutter


150


G′ is in the lowermost position along longitudinal axis


44


′, while cutter


150


V′ is in the uppermost position along longitudinal axis


44


′. The exemplary cutter


150


′ arrangements depicted in

FIGS. 5B-5E

illustrate that the rake angle


40


of cutting face


160


′ of the lowermost cutter


150


G′ may be the maximum rake angle or the minimum rake angle of all of cutters


150


′. Nonetheless, other rake angle orientations of cutters


150


′ that are related to the relative vertical positions of at least some cutters on a drag bit


10


′ are also within the scope of the present invention.




Turning now to

FIGS. 6A-6G

, an embodiment of a cutter


150


″ rake angle


40


arrangement is illustrated that takes into account the relative positions of cutters


150


″ along a single blade


20


″ of a drag bit


10


″.




As shown in

FIG. 6A

, drag bit


10


″ includes a blade


20


″ that carries cutters


150


A″-


150


F″, which are collectively referred to herein as cutters


150


″.

FIGS. 6B-6G

illustrate different possible relationships between the positions of cutters


150


″ along blade


20


″, or the radial distances of cutters


150


″ on a single blade


20


″ from a longitudinal axis


44


″ of drag bit


10


″, and the rake angles


40


at which cutting faces


160


″ of cutters


150


″ are oriented. Again, the rake angles


40


of at least some cutters


150


″ sequentially positioned within a region


70


of blade


20


″ are continuously varied. Blade


20


″ may also include adjacently positioned cutters


150


″, which are identified in

FIGS. 6B-6G

by reference numeral


72


, that have cutting faces


160


″ oriented at rake angles


40


that differ by less than about five degrees from one another.




In

FIGS. 7A-7F

, yet another embodiment of a continuously varied cutting face


160


′″ rake angle


40


arrangement incorporating teachings of the present invention is illustrated.





FIG. 7A

depicts a blade


20


′″ of a drag bit


10


′″ that carries cutters


150


A′″-


150


F′″. In this embodiment, the rake angles


40


of the cutting faces


160


′″ of cutters


150


A′″-


150


F′″ are at least partially determined as a function of the vertical position of each cutter


150


A′″-


150


F′″ on a single blade


20


′″ relative to a longitudinal axis


44


′″ of drag bit


10


′″. Thus, the rake angles


40


of cutting faces


160


′″ are independent of the positioning of cutters on other blades of drag bit


10


′″. While rake angles


40


of the present embodiment are at least partially dependent upon the vertical locations of cutters


150


A′″-


150


F′″, the sequence of identification of cutters


150


A′″-


150


F′″ is based on the relative distance each of cutters


150


A′″-


150


F′″ on blade


20


′″ is radially spaced from longitudinal axis


44


′″.




Various exemplary rake angle


40


arrangements of cutters


150


A′″-


150


F′″ are illustrated in the graphs of

FIGS. 7B-7F

. As shown in

FIGS. 7B-7F

, in each of these rake angle


40


arrangements, sequentially positioned cutters


150


′″ on at least a portion of blade


20


′″, which is referred to as region


70


, are oriented with their cutting faces


160


′″ at different, continuously varying rake angles


40


. Where appropriate, regions


72


of a blade


20


′″ are designated in which at least two sequentially adjacent cutters


150


′″ have cutting faces


160


′″ that are oriented at different rake angles that vary by less than about five degrees.




As aforementioned, rake angles


40


of cutting faces


160


of cutters


150


may be advantageously designed to improve the individual wear characteristics of a cutter at one or more positions on a face


12


of a drag bit


10


or the overall wear characteristics of drag bit


10


. In so designing a drag bit


10


, wear data may be collected, either from worn drag bits, computer simulations, or extrapolation of laboratory data. Then, upon analysis of the wear data, the rake angles


40


at which cutting faces


160


of cutters


150


on the bit may be modified to adjust the relative wear of one or more cutters


150


or of the entire drag bit


10


so as to extend the useful life of cutters


150


or of drag bit


10


.




For illustration purposes only,

FIG. 8

depicts an example of the relative wear of cutters


150


A′-


150


V′ of drag bit


10


′ illustrated in FIG.


5


A. Each of cutters


150


A′-


150


V′ was oriented with its cutting face


160


′ having a negative rake angle


40


, or backrake, of about 15°, as depicted in the graph of FIG.


9


A. The observed performance of individual cutters


150


′ or of the entire drag bit


10


′ is compared to desired performance criteria. The orientations of cutters


150


′ on drag bit


10


′ may then be modified to provide regions on drag bit


10


′ where sequentially adjacent cutters


150


′ have cutting faces


160


′ that have rake angles


40


that vary continuously so as to compensate for disparities between the desired and measured performance of cutters


150


′ or of drag bit


10


′.




As an example of a response to the observed wear data, cutters


150


′ that were subject to increased wear (e.g., cutters


150


I′-


150


V′) may be reoriented, as shown in the graph of

FIG. 9B

, so as to decrease the wear thereof, with cutting faces


160


′ of these cutters


150


′ (e.g. cutters


150


I′-


150


V′) oriented at rake angles


40


that will counteract the tendencies of cutters


150


′ in these locations to wear at increased rates relative to the wear rates of cutters


150


′ at other positions on drag bit


10


′. In

FIG. 9B

, the rake angles


40


of cutting faces


160


′ of cutters


150


A′-


150


H′, which

FIG. 8

shows exhibited very little wear (less than about five percent), were not changed, while the negativity of the rake angles


40


of cutting faces


160


′ of the remaining cutters


150


I′-


150


V′ was increased with the increased amount of wear illustrated in FIG.


8


.




Alternatively, as depicted in

FIG. 9C

, rake angles


40


may be modified by reducing the negativity of rake angle


40


for the cutting faces


160


′ of cutters


150


A′-


150


H′, which exhibit low wear, and increasing the negativity of rake angles


40


for the cutting faces


160


′ of cutters


150


I′-


150


V′ in the higher wear areas of face


12


′ of drag bit


10


′. One motivation for this strategy would be to prevent the weight on bit from increasing excessively due to the average increase in the negativity of rake angle


40


(i.e., backrake) of cutters


150


′.




In this embodiment of the invention,

FIGS. 9B and 9C

depict modification of rake angles


40


in a manner that generally follows the wear pattern function. The modifications depicted in

FIGS. 9B and 9C

are not intended to limit the scope of the invention; rather, these modifications are only provided as exemplary embodiments of the invention.




Although most evident from the graphical representations of

FIGS. 6B-6E

, mathematical functions may be used to continuously vary the rake angles


40


of the cutting faces


160


,


160


′,


160


″,


160


′″ of at least some cutters


150


,


150


′,


150


″,


150


′″ carried upon the face


12


,


12


′,


12


″,


12


′″ of a drag bit


10


,


10


′,


10


″,


10


′″. For example, mathematical functions may be employed to generally increase or generally decrease the rake angles


40


of cutters


150


,


150


′,


150


″,


150


′″ within such a variable region


70


, depending upon the relative positions of these cutters


150


,


150


′,


150


″,


150


′″. Linear functions or nonlinear functions may also be employed to arrange cutters


150


,


150


′,


150


″,


150


′″ within a region


70


on the face


12


,


12


′,


12


″,


12


′″ of a drag bit


10


,


10


′,


10


″,


10


′″ so that the cutting faces


160


,


160


′,


160


″,


160


′″ thereof are oriented at continuously varying rake angles


40


. Likewise, polynomials, exponential functions, or cyclic functions may be employed to determine rake angles


40


. The continuously varied rake angles


40


of the cutting faces


160


,


160


′,


160


″,


160


′″ of cutters


150


,


150


′,


150


″,


150


′″ sequentially positioned on at least a region


70


of a face


12


,


12


′,


12


″,


12


′″ of a drag bit


10


,


10


′,


10


″,


10


′″ may alternatively take the form of repeating or nonrepeating patterns.




Each of the herein-described inventive rake angle


40


arrangements of cutters


150


,


150


′,


150


″,


150


′″ may include providing small changes (i.e., less than about 5°) in the rake angles


40


of cutting faces


160


,


160


′,


160


″,


160


′″ of sequentially adjacent cutters


150


,


150


′,


150


″,


150


′″ so as to smooth the transition between regions on face


12


,


12


′,


12


″,


12


′″ with cutters


150


,


150


′,


150


″,


150


′″ of different rake angles


40


. By continuously varying the cutter backrake angle, several advantages will be apparent. One advantage of the continuous transition between different cutter backrake angles is smoothing the cutter forces between two areas with differing cutter backrake angles. These cutter forces directly affect bit whirling and the dynamic behavior of the bit. Thus, a smooth transition provides the advantage of smooth and more stable drilling. The reduction of vibration and dynamic loading extends cutter life, thereby extending the bit life as well. Another advantage is that, by varying the backrake angle, drilling performance and wear characteristics can be tailored.




As yet another alternative, a drill bit incorporating teachings of the present invention may include cutters with rake angles that continuously vary in a randomly generated manner. For example, the rake angles of the cutters of such a drill bit could be determined by a random number generator, as known in the art, rather than as a function of the radial or axial location of each cutter on the bit. Random rake angles may, for example, be useful for imparting the bit with increased stability or a desired amount of cuttings generation.




Many additions, deletions, and modifications may be made to the preferred embodiments of the invention as disclosed herein without departing from the scope of the invention as hereinafter claimed.



Claims
  • 1. A drag bit for drilling a subterranean formation, comprising:a bit body including a longitudinal axis, a gage distanced substantially radially from said longitudinal axis, and a face to be oriented toward the subterranean formation during drilling; and a plurality of cutters disposed over said face, at least one region of said face including a first cutter with a first rake angle, a second cutter with a second rake angle, and a third cutter with a third rake angle, said first, second, and third rake angles differing from one another, each of said first, second, and third rake angles being a function of at least one of a radial distance of said first, second, and third cutters from said longitudinal axis and a vertical position of said first, second, and third cutters along said longitudinal axis.
  • 2. The drag bit of claim 1, wherein said first, second, and third rake angles differ in a manner to counteract different cutter wear rates at locations of said first, second and third cutters.
  • 3. The drag bit of claim 1, wherein said first, second, and third cutters are sequential with respect to radial distances of said plurality of cutters from said longitudinal axis.
  • 4. The drag bit of claim 1, wherein said bit body includes a plurality of blades.
  • 5. The drag bit of claim 4, wherein said first, second, and third cutters are located on a same blade.
  • 6. The drag bit of claim 4, wherein said first, second, and third cutters are located on different blades.
  • 7. The drag bit of claim 1, wherein said first, second, and third rake angles are configured to reduce wear of said first, second, and third cutters.
  • 8. The drag bit of claim 1, wherein said first, second, and third rake angles are configured to reduce thermal loading of said first, second, and third cutters.
  • 9. The drag bit of claim 1, wherein said first, second, and third rake angles are configured to increase stability of the drag bit during drilling.
  • 10. The drag bit of claim 1, wherein said first, second, and third rake angles are configured to improve a directional drilling characteristic of the drag bit.
  • 11. The drag bit of claim 1, wherein said first, second, and third rake angles are configured to reduce bore hole stresses on said first, second, and third cutters.
  • 12. A drag bit for drilling subterranean formations, comprising:a bit body including a longitudinal axis, a bit gage distanced substantially radially from said longitudinal axis, and a face positioned to lead the drag bit into the subterranean formation during drilling; and a plurality of cutters oriented over said bit body, a rake angle of each cutter of said plurality of cutters being a function of at least one of a radial distance of said cutter from said longitudinal axis and a vertical position of said cutter along said longitudinal axis.
  • 13. The drag bit of claim 12, wherein at least two cutters positioned on at least said face have different rake angles.
  • 14. The drag bit of claim 12, wherein said plurality of cutters are sequential with respect to radial distances of said plurality of cutters from said longitudinal axis.
  • 15. The drag bit of claim 14, wherein at least three sequential cutters of said plurality of cutters each have different rake angles than a rake angle of a sequentially adjacent cutter.
  • 16. The drag bit of claim 12, wherein said plurality of cutters are sequential with respect to vertical positions of said plurality of cutters along said longitudinal axis.
  • 17. The drag bit of claim 12, further comprising a plurality of blades.
  • 18. The drag bit of claim 17, wherein at least two cutters positioned on one blade of said plurality of blades have different rake angles.
  • 19. The drag bit of claim 12, wherein rake angles of said plurality of cutters are configured to reduce wear of at least some cutters of said plurality of cutters.
  • 20. The drag bit of claim 12, wherein rake angles of said plurality of cutters are configured to reduce thermal loading of at least some cutters of said plurality of cutters.
  • 21. The drag bit of claim 12, wherein at least some cutters of said plurality of cutters have rake angles that are configured to facilitate directional drilling with the drag bit.
  • 22. The drag bit of claim 12, wherein at least some cutters of said plurality of cutters have rake angles that are configured to reduce bore hole stresses on said at least some cutters.
  • 23. A drag bit for drilling a subterranean formation, comprising:a bit body including a longitudinal axis, a gage distanced substantially radially from said longitudinal axis, and a face to be oriented toward the subterranean formation during drilling; and a plurality of cutters disposed over said face, at least one region of said face including a first cutter with a first rake angle and a second cutter with a second rake angle, said first and second rake angles varying by less than about five degrees and being a function of a radial distance of said first and second cutters from said longitudinal axis.
  • 24. The drag bit of claim 23, wherein said first and second rake angles are also a function of a vertical position of said first and second cutters along said longitudinal axis.
  • 25. The drag bit of claim 23, wherein said first and second rake angles differ in a manner to counteract different cutter wear rates at locations of said first and second cutters.
  • 26. The drag bit of claim 23, wherein said first and second cutters are sequential with respect to radial distances of said plurality of cutters from said longitudinal axis.
  • 27. The drag bit of claim 23, wherein said bit body includes a plurality of blades.
  • 28. The drag bit of claim 27, wherein said first and second cutters are located on a same blade.
  • 29. The drag bit of claim 27, wherein said first and second cutters are located on different blades.
  • 30. The drag bit of claim 23, wherein said first and second rake angles are configured to perform a function comprising at least one of reducing wear of said first and second cutters, reducing thermal loading of said first and second cutters, increasing stability of the drag bit during drilling, improving a directional drilling characteristic of the drag bit, and reducing bore hole stresses on said first and second cutters.
  • 31. A drag bit for drilling a subterranean formation, comprising:a bit body including a longitudinal axis, a gage distanced substantially radially from said longitudinal axis, and a face to be oriented toward the subterranean formation during drilling; and a plurality of cutters disposed over said face, at least one region of said face including a first cutter with a first rake angle and a second cutter with a second rake angle, said first and second take angles varying by less than about five degrees and being a function of a vertical position of said first and second cutters along said longitudinal axis.
  • 32. The drag bit of claim 31, wherein said first and second rake angles are also a function of a radial distance of said first and second cutters from said longitudinal axis.
  • 33. The drag bit of claim 31, wherein said first and second rake angles differ in a manner to counteract different cutter wear rates at locations of said first and second cutters.
  • 34. The drag bit of claim 31, wherein said first and second cutters are sequential with respect to radial distances of said plurality of cutters from said longitudinal axis.
  • 35. The drag bit of claim 31, wherein said bit body includes a plurality of blades.
  • 36. The drag bit of claim 35, wherein said first and second cutters are located on a same blade.
  • 37. The drag bit of claim 35, wherein said first and second cutters are located on different blades.
  • 38. The drag bit of claim 31, wherein said first and second rake angles are configured to perform a function comprising at least one of reducing wear of said first and second cutters, reducing thermal loading of said first and second cutters, increasing stability of the drag bit during drilling, improving a directional drilling characteristic of the drag bit, and reducing bore hole stresses on said first and second cutters.
  • 39. A drag bit for drilling a subterranean formation, comprising:bit body including a longitudinal axis, a gage distanced substantially radially from said longitudinal axis, and a face to be oriented toward the subterranean formation during drilling, and a plurality of cutters disposed over said face, at least one region of said face including a first cutter with a first rake angle and a second cutter with a second rake angle, said first and second cutters being sequential with respect to radial distances of said plurality of cutters from said longitudinal axis, said first and second rake angles varying by less than about five degrees.
  • 40. The drag bit of claim 39, wherein said first and second rake angles are also a function of a radial distance of said first and second cutters from said longitudinal axis.
  • 41. The drag bit of claim 39, wherein said first and second rake angles differ in a manner to counteract different cutter wear rates at locations of said first and second cutters.
  • 42. The drag bit of claim 39, wherein said first and second rake angles are a function of a vertical position of said first and second cutters along said longitudinal axis.
  • 43. The drag bit of claim 39, wherein said bit body includes a plurality of blades.
  • 44. The drag bit of claim 43, wherein said first and second cutters are located on a same blade.
  • 45. The drag bit of claim 43, wherein said first and second cutters are located on different blades.
  • 46. The drag bit of claim 39, wherein said first and second rake angles are configured to perform a function comprising at least one of reducing wear of said first and second cutter, reducing thermal loading of said first and second cutters, increasing stability of the drag bit during drilling, improving a directional drilling characteristic of the drag bit, and reducing bore hole stresses on said first and second cutters.
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