Not applicable.
Not applicable.
Not applicable.
Wellbores are sometimes drilled into subterranean formations that contain hydrocarbons to allow for the recovery of the hydrocarbons. Once the wellbore has been drilled, various servicing and/or completion operations may be performed to configure the wellbore for the production of hydrocarbons. During drilling operations, servicing operations, completion operations, or combinations thereof, large volumes of often very high pressure fluids may be present within the wellbore and/or subterranean formation and/or within various flowlines connecting wellbore servicing equipment components to the wellbore. As such, the opportunity for an uncontrolled discharge of fluids, whether as a result of operator error, equipment failure, or some other unforeseen circumstance, exists in a wellsite environment. The uncontrolled discharge of fluids from the wellbore, whether directly from the wellhead or from a flowline in connection therewith, poses substantial safety risks to personnel. As such, there is a need for dealing with such uncontrolled fluid discharges.
Disclosed herein is a wellbore servicing system disposed at a wellbore, the wellbore servicing system comprising at least one wellbore servicing equipment component, wherein a flow path extends from the wellbore servicing system component into the wellbore, and a flow-back control system, wherein the flow-back control system is disposed along the flow path, and wherein the flow-back control system is configured to allow fluid communication via the flow path in a first direction at not less than a first rate and to allow fluid communication via the flow path in a second direction at not more than a second rate, wherein the first rate is greater than the second rate.
Also disclosed herein is a wellbore servicing method comprising providing a flow path between a wellbore servicing system and a wellbore penetrating a subterranean formation, wherein a flow-back control system comprising a fluidic diode is disposed along the flow path at the surface of the subterranean formation, and communicating a fluid via the flow path in a first direction at not less than a first rate.
These and other features will be more clearly understood from the following detailed description taken in conjunction with the accompanying drawings and claims.
For a more complete understanding of the present disclosure and the advantages thereof, reference is now made to the following brief description, taken in connection with the accompanying drawings and detailed description:
In the drawings and description that follow, like parts are typically marked throughout the specification and drawings with the same reference numerals, respectively. The drawing figures are not necessarily to scale. Certain features of the invention may be shown exaggerated in scale or in somewhat schematic form and some details of conventional elements may not be shown in the interest of clarity and conciseness.
Unless otherwise specified, any use of any form of the terms “connect,” “engage,” “couple,” “attach,” or any other term describing an interaction between elements is not meant to limit the interaction to direct interaction between the elements and may also include indirect interaction between the elements described. In the following discussion and in the claims, the terms “including” and “comprising” are used in an open-ended fashion, and thus should be interpreted to mean “including, but not limited to . . . ”. Reference to up or down will be made for purposes of description with “up,” “upper,” or “upward,” meaning toward the surface of the wellbore and with “down,” “lower,” or “downward,” meaning toward the terminal end of the well, regardless of the wellbore orientation. Reference to in or out will be made for purposes of description with “in,” “inner,” or “inward” meaning toward the center or central axis of the wellbore and/or an element, and with “out,” “outer,” or “outward” away from the center or central axis of the wellbore and/or an element. Reference to “longitudinal,” “longitudinally,” or “axially” means a direction substantially aligned with the main axis of the wellbore, a wellbore tubular, or an element. Reference to “radial” or “radially” means a direction substantially aligned with a line from the main axis of the wellbore, a wellbore tubular, and/or an element generally outward. The various characteristics mentioned above, as well as other features and characteristics described in more detail below, will be readily apparent to those skilled in the art with the aid of this disclosure upon reading the following detailed description of the embodiments, and by referring to the accompanying drawings.
Disclosed herein are embodiments of devices, systems, and methods at least partially controlling the discharge of fluid from a wellbore and/or a component fluidicly connected to the wellbore. Particularly, disclosed herein are one or more embodiments of a flow-back control system, well-bore servicing systems including such a flow-back control system, and methods of utilizing the same.
The wellbore 120 may extend substantially vertically away from the earth's surface 160 over a vertical wellbore portion, or may deviate at any angle from the earth's surface 160 over a deviated or horizontal wellbore portion. Alternatively, portions or substantially all of the wellbore 120 may be vertical, deviated, horizontal, and/or curved. In some instances, a portion of the pipe string 140 may be secured into position within the wellbore 120 in a conventional manner using cement 170; alternatively, the pipe string 140 may be partially cemented in wellbore 120; alternatively, the pipe string 140 may be uncemented in the wellbore 120; alternatively, all or a portion of the pipe string 140 may be secured using one or more packers (e.g. mechanical or swellable packers, such as SWELLPACKER isolation systems, commercially available from Halliburton Energy Services). In an embodiment, the pipe string 140 may comprise two or more concentrically positioned strings of pipe (e.g., a first pipe string such as jointed pipe or coiled tubing may be positioned within a second pipe string such as casing cemented within the wellbore). It is noted that although one or more of the figures may exemplify a given operating environment, the principles of the devices, systems, and methods disclosed may be similarly applicable in other operational environments, such as offshore and/or subsea wellbore applications.
In the embodiment of
In an embodiment, the wellbore servicing system 100 is generally configured to communicate (e.g., introduce) a fluid (e.g., a wellbore servicing fluid) into wellbore 120, for example, at a rate and pressure suitable for the performance of a desired wellbore servicing operation. In an embodiment, the wellbore servicing system 100 comprises at least one wellbore servicing system equipment component. Turning to
Returning to
In an embodiment, for example, in the embodiment of
Turning back to
In an embodiment, the flow-back control system 200 may be generally configured to allow fluid communication therethrough at a first, relatively higher flow-rate in a first direction and to allow fluid communication therethrough at a second, relatively lower flow-rate in a second, typically opposite direction. In such an embodiment, the first direction of flow may generally be characterized as toward/into the wellbore 120 or subterranean formation 130 (e.g., injecting or pumping into the wellbore/formation) and the second direction of flow may generally be characterized as away from/out of the wellbore 120 or subterranean formation 130 (e.g., producing from the formation to the surface). For example, in an embodiment, the flow-back control system may be configured to allow a fluid (e.g., a wellbore servicing fluid) to be communicated from a relatively upstream position along the flow path 195 (e.g., the wellbore servicing system 100 or a component thereof) in the direction of a relatively downstream position along the flow path 195 (e.g., the wellhead 180, the pipe string 140, the wellbore 120 and/or subterranean formation 130) at a relatively low flow restriction in comparison to flow in the opposite direction (e.g., at a substantially uninhibited rate in comparison to flow through the flow path 195 in the absence of the flow-back control system 200; in other words, the flow-back control system does not choke off or restrict normal flow through the flow path in the first direction). For example, flow through the flow-back control system in a first, non-restricted (or non-metered) direction may be at least about 40 barrels per minute (BPM), alternatively, at least about 50 BPM, alternatively, at least about 60 BPM, alternatively, at least about 70 BMP, alternatively, at least about 80 BPM, alternatively, at least about 90 BPM, alternatively, at least about 100 BPM, alternatively, at least about 120 BPM, alternatively, at least about 140 BPM, alternatively, at least about 160 BPM, alternatively, at least about 180 BPM, alternatively, at least about 200 BPM. Additionally, the flow-back control system 200 may be configured in a second, restricted (or metered) direction to allow a fluid to be communicated from the relatively downstream position along the flow path 195 (e.g., the wellhead 180, the pipe string 140, the wellbore 120 and/or subterranean formation 130) in the direction of the upstream position along the flowpath 195 (e.g., the wellbore servicing system 100 or a component thereof) at a relatively high flow-rate restriction (i.e., at a controlled rate), for example, not more than about 100 BPM, alternatively, not more than about 90 BPM, alternatively, not more than about 80 BPM, alternatively, not more than about 70 BPM, alternatively, not more than about 60 BPM, alternatively, not more than about 50 BPM, alternatively, not more than about 40 BPM, alternatively, not more than about 30 BPM, alternatively, not more than about 25 BPM, alternatively, not more than about 20 BPM, alternatively, not more than about 15 BPM, alternatively, not more than about 12 BPM, alternatively, not more than about 10 BPM, alternatively, not more than about 8 BPM, alternatively, not more than about 6 BPM, alternatively, not more than about 5 BPM, alternatively, not more than about 4 BPM, alternatively, not more than about 3 BPM, alternatively, not more than about 2 BPM.
In an embodiment, the flow-back control system 200 may be configured to be incorporated and/or integrated within the flow path 195. For example, the flow-back control system 200 may comprise a suitable connection to the wellbore servicing system 100 (or a wellbore servicing equipment component thereof), to the wellhead 180, to the pipe string 140, to any fluid conduit extending therebetween, or combinations thereof. For example, the flow-back control system 200 may comprise internally or externally threaded surfaces, suitable for connection via a threaded interface. Alternatively, the flow-back control system 200 may comprise one or more flanges, suitable for connection via a flanged connection. Additional or alternative suitable connections will be known to those of skill in the art upon viewing this disclosure.
In an embodiment, the flow-back control system 200 may comprise (e.g., be formed from) a suitable material. As will be disclosed herein, in operation the flow-back control system 200 may be subjected to relatively high flow rates of various fluids, some of which may be abrasive in nature. As such, in an embodiment, a suitable material may be characterized as relatively resilient when exposed to abrasion. Examples of suitable materials include, but are not limited to, metals (such as titanium), metallic alloys (such as carbon steel, tungsten carbide, hardened steel, and stainless steel), ceramics, polymers (such as polyurethane) or combinations thereof.
In an embodiment, the flow-back control system 200 may comprise a fluidic diode. As used herein, the term “fluidic diode” may refer to a component generally defining a flowpath which exhibits a relatively low restriction to fluid movement (e.g., flow) therethrough in one direction (e.g., the first or “forward” direction) and a relatively high restriction to fluid movement (e.g., flow) therethrough in the opposite direction (e.g., a second or “reverse” direction). Any reference herein to fluid flow in either a “forward” or a “reverse” is solely for the purpose of reference and should not be construed as limiting the flow-back control system 200 or a fluidic diode thereof to any particularly orientation. As used herein, “forward” fluid flow may refer to flow generally into a wellbore and “reverse” fluid flow may refer to flow generally out of the wellbore. As will be disclosed here, a fluidic diode may be configured so as to not prevent (e.g., cease, altogether as is typically provided for example by a check-valve configuration such as a flapper-type safety valve) fluid movement in any particular direction, but rather, may be configured so as to provide variable resistance to fluid movement, dependent upon the direction of the fluid movement. In an embodiment, the flow path defined by a fluidic diode may be characterized as comprising two points of entry into that flow path, for example, a high-resistance entry and a low-resistance entry. For example, fluid movement from the low-resistance entry in the direction of the high-resistance entry may comprise forward flow, as referenced herein (e.g., low-resistance flow); conversely, fluid movement from the high-resistance entry in the direction of the low-resistance entry may comprise reverse flow, as referenced herein (e.g., high-resistance flow).
Additionally, in an embodiment the flow-back control system 200 may comprise two or more fluidic diodes, for example, three, four, five, six, seven, eight, nine, ten, eleven, twelve, or more fluid diodes, for example, arranged in parallel and/or in series and may be spaced in close proximity (e.g., immediately adjacent such that flow exiting one fluidic diode is fed directly into another fluidic diode) and/or may be distributed at distances or intervals along the flow path 195. In such an embodiment, the multiple fluidic diodes may be fluidicly coupled together (e.g., manifolded), for example, so as to provide for a desired total flow rate in either the first and/or second direction. In embodiments, a plurality of fluidic diodes may be coupled in series, in parallel, or combinations thereof to achieve a desired flow characteristic there through.
In an embodiment, the fluidic diode(s) may be configured such that the maximum flow-rate allowed therethrough in the reverse direction (at a given fluid pressure) is not more than 90% of the maximum flow-rate allowed in the forward direction (at the same fluid pressure), alternatively, not more than 80%, alternatively, not more than 70%, alternatively, not more than 60%, alternatively, not more than 50%, alternatively, not more than 40%, alternatively, not more than 30%, alternatively, not more than 20%, alternatively, not more than 10% of the maximum flow-rate allowed in the forward direction.
Referring to
Referring to
In the embodiments of
Referring to
Referring to
Referring to
Referring to
Referring to
Not intending to be bound by theory, the fluidic diode of
As noted above, the type and/or configuration of a given fluidic diode, among various other considerations, may bear upon the position and/or location at which the flow-back control system 200 may incorporated within the flow path 195. For example, in an embodiment where the fluidic diode may be incorporated/integrated within a tubular member or other similar axial member or body (e.g., defining the flow path 195a of the fluidic diode) as disclosed with reference to
In an embodiment, one or more a flow-back control systems, such as flow-back control system 200 as has been disclosed herein, may be employed in the performance of a wellbore servicing method. In such an embodiment, the wellbore servicing method may generally comprise the steps of providing a wellbore servicing system (for example, the wellbore servicing system 100 disclosed herein), providing a flow path comprising a flow-back control system (e.g., the flow-back control system 200 disclosed herein) between the wellbore servicing system 100 and a wellbore (e.g., wellbore 120), and introducing a fluid into the wellbore 120 via the flow path. In an embodiment, the wellbore servicing method may further comprise allowing fluid to flow from the wellbore at a controlled rate.
In an embodiment, providing the wellbore servicing system may comprise transporting one or more wellbore servicing equipment components, for example, as disclosed herein with respect to
In an embodiment, providing a flow path (for example, flow path 195 disclosed herein) comprising a flow-back control system 200 between the wellbore servicing system 100 and the wellbore 120 may comprise assembling the wellbore servicing system 100, coupling the wellbore servicing system 100 to the wellbore 120, providing a pipe string within the wellbore, or combinations thereof. For example, in an embodiment, one or more wellbore servicing equipment components may be assembled (e.g., fluidicly coupled) so as to form the wellbore servicing system 100, for example, as illustrated in
In an embodiment, providing the flow path 195 comprising a flow-back control system 200 between the wellbore servicing system 100 and the wellbore 120 may also comprise incorporating the flow-back control system 200 within the flow path 195. For example, in an embodiment, the flow-back control system 200 may be fluidicly connected (e.g., fluidicly in-line with flow path 195) during assembly of the wellbore servicing system 100 and/or as a part of coupling the wellbore servicing system 100 to the wellbore 120. Alternatively, in an embodiment, the flow-back control system 200 may be integrated within one or more components present at the wellsite 101. For example, in an embodiment, the flow-back control system 200 may be integrated/incorporated within (e.g., a part of) one or more wellbore servicing equipment components (e.g., of the wellbore servicing system 100, for example as part of the manifold 250), within the wellhead 180, within the pipe string 140, within the wellbore tool 150, or combinations thereof.
In an embodiment, (for example, when the flow path 195 has been provided) a fluid may be introduced in to the wellbore via the flow path 195. In an embodiment, the fluid may comprise a wellbore servicing fluid. Examples of a suitable wellbore servicing fluid include, but are not limited to, a fracturing fluid, a perforating or hydrajetting fluid, an acidizing fluid, the like, or combinations thereof. Additionally, in an embodiment, the wellbore servicing fluid may comprise a composite fluid, for example, having two or more fluid components which may be communicated into the wellbore separately (e.g., via two or more different flow paths). The wellbore servicing fluid may be communicated at a suitable rate and pressure for a suitable duration. For example, the wellbore servicing fluid may be communicated at a rate and/or pressure sufficient to initiate or extend a fluid pathway (e.g., a perforation or fracture) within the subterranean formation 130 and/or a zone thereof.
In an embodiment, for example, as shown in
In addition, because the flow-back control system 200 is configured to allow fluid communication in both directions (e.g., as opposed to a check valve, which operates to allow fluid communication in only one direction), fluid may be flowed in both directions during the performance of the wellbore servicing operation. For example, the wellbore servicing fluid may be delivered into the wellbore at a relatively high rate (e.g., as may be necessary during a fracturing or perforating operation) and returned from the wellbore (e.g., reverse-circulated, as may be necessitated during some servicing operations, for example for fluid recovery, pressure bleed-off, etc.) at a relatively low rate.
In an embodiment, the wellbore servicing method further comprises allowing a fluid to flow from the wellbore 120 at a controlled rate. For example, while undesirable, it is possible that control of the wellbore may be lost, for example, during the performance of a wellbore servicing operation, after the cessation of a servicing operation, or at some other time. Control of the wellbore may be lost or compromised for a number of reasons. For example, control of a wellbore may be compromised as a result of equipment failure (e.g., a broken or ruptured flow conduit, a non-functioning valve, or the like), operator error, or combinations thereof. Regardless of the reason that such uncontrolled flow may occur, because of the presence of the flow-back control system 200, any such flow of fluids out of the wellbore may occur at a controlled rate, alternatively, at a substantially controlled rate. For example, fluid escaping from the wellbore 120 (e.g., from the wellhead 180) may flow out of the wellbore 120 via the flow-back control system 200. In such an embodiment, the fluid flowing out of the wellbore may enter the flow-back control system 200 (e.g., a fluidic diode) via the high resistance entry and exit the flow-back control apparatus via the low-resistance entry. As such, the wellbore servicing fluid may experience relatively high resistance to flow when communicated out of the wellbore. Therefore, the fluid flowing out of the wellbore may do so at a substantially controlled rate. In an embodiment, when such an unintended flow of fluids occurs, the flow-back control apparatus 200 may allow such fluids to be communicated at a rate sufficiently low so as to allow the wellbore to again be brought under control (e.g., for well control to be re-established). For example, because the fluid will only flow out of the wellbore at a controlled rate (e.g., via the operation of the flow-back control system 200), the area surrounding the wellbore (e.g., the wellsite) may remain safe, thereby allowing personnel to manually bring the wellbore under control (e.g., using a manually operated valve located at the wellhead 180).
In an embodiment, a flow-back control system, such as the flow-back control system 200 disclosed herein, and/or methods of utilizing the same, may be advantageously employed, for example, in the performance of a wellbore servicing operation. As disclosed herein, the utilization of such a flow-back control system may allow fluid movement, both into and out of a wellbore, at an appropriate rate. For example, the flow-back control system may be configured so as to allow fluid to be communicated into a wellbore at a rate sufficiently high to stimulate e.g., fracture or perforate) a subterranean formation and to allow fluid to be communicated out of the wellbore at a rate sufficiently low to provide improved safety (e.g., from unexpected fluid discharges) to operators and/or personnel present in the area around the wellbore.
In an embodiment, check valves have been conventionally employed at and/or near the wellhead, for example, to prevent the unintended escape of fluids. However, such check valves are configured to permit flow therethrough in only a first direction while prohibiting entirely flow therethrough in a second direction. As such, a check valve would not control the escape of fluids during a point during an operation when such check valve was deactivated (e.g., during reverse circulation or reverse-flowing). Moreover, check valves generally utilize moving parts and, as such, exposure to high flow-rates of relatively abrasive fluids (e.g., wellbore servicing fluids) may damage and/or render inoperable such check valves. Conversely, in an embodiment, the flow-back control system may comprise relatively few (for example, none) moving parts and, as such, may be far less susceptible to failure or degradation. Also, by allowing some fluid flow in the reverse direction (as opposed to complete shut-off of fluid flow in the reverse direction by a check valve), undesirably high pressure spikes may be lessened or avoided by the use of the flow-back control systems comprising fluidic diodes as disclosed herein, further protecting personnel and equipment from injury or damage that may occur from over-pressurization of equipment. The use of flow-back control systems comprising fluidic diodes as disclosed herein, while not completely shutting off reverse flow, may reduce/restrict reverse flow for a sufficient time and/or reduction in flow rate or pressure to allow other safety systems to be activated and/or to function (e.g., an additional amount of time for a blow-out preventer to be activated and/or fully close).
The following are nonlimiting, specific embodiments in accordance with the present disclosure:
A first embodiment, which is a wellbore servicing system disposed at a wellbore, the wellbore servicing system comprising:
at least one wellbore servicing equipment component, wherein a flow path extends from the wellbore servicing system component into the wellbore, and
a flow-back control system, wherein the flow-back control system is disposed along the flow path, and wherein the flow-back control system is configured to allow fluid communication via the flow path in a first direction at not less than a first rate and to allow fluid communication via the flow path in a second direction at not more than a second rate, wherein the first rate is greater than the second rate.
A second embodiment, which is the wellbore servicing system of the first embodiment, wherein the wellbore servicing equipment component comprises a mixer, a pump, a wellbore services manifold, a storage vessel, or combinations thereof.
A third embodiment, which is the wellbore servicing system of one of the first through the second embodiments, wherein the first direction is generally into the wellbore.
A fourth embodiment, which is the wellbore servicing system of one of the first through the third embodiments, wherein the second direction is generally out of the wellbore.
A fifth embodiment, which is the wellbore servicing system of one of the first through the fourth embodiments, wherein the first rate comprises a relatively high rate and the second rate comprises a relatively low rate.
A sixth embodiment, which is the wellbore servicing system of one of the first through the fifth embodiments, wherein the flow-back control system comprises a fluidic diode.
A seventh embodiment, which is the wellbore servicing system of the sixth embodiment, wherein the fluidic diode comprises a relatively high-resistance entry and a relatively low-resistance entry.
An eighth embodiment, which is the wellbore servicing system of one of the sixth through the seventh embodiments, wherein the fluidic diode generally defines a diode flow path, wherein the diode flow path is in fluid communication with the flow path.
A ninth embodiment, which is the wellbore servicing system of the eighth embodiment, wherein the diode flow path comprises a primary diode flowpath and one or more secondary diode flow paths, wherein flow in the first direction is along the primary diode flowpath and flow in the second direction is along the one or more secondary diode flow paths.
A tenth embodiment, which is the wellbore servicing system of the eighth embodiment, wherein the diode flow path comprises a plurality of island-like projections or more protrusions.
An eleventh embodiment, which is the wellbore servicing system of the eighth embodiment, wherein the diode flow path comprises a nozzle.
A twelfth embodiment, which is the wellbore servicing system of the eighth embodiment, wherein the diode flow path comprises a vortex.
A thirteenth embodiment, which is the wellbore servicing system of one of the first through the twelfth embodiments, wherein the flow-back control system comprises no moving parts.
A fourteenth embodiment, which is the wellbore servicing system of one of the sixth through the thirteenth embodiments, wherein the fluidic diode has a flow path as shown in any one of
A fifteenth embodiment, which is the wellbore servicing system of one of the first through the fourteenth embodiments, wherein the first rate is at least 1.5, 2, 2.5, 3, 3.5, 4, 4.5, 5, 6, 7, 8, 9, 10, or 12 times greater than the second flow rate.
A sixteenth embodiment, which is a wellbore servicing method comprising:
providing a flow path between a wellbore servicing system and a wellbore penetrating a subterranean formation, wherein a flow-back control system comprising a fluidic diode is disposed along the flow path at the surface of the subterranean formation; and
communicating a fluid via the flow path in a first direction at not less than a first rate.
A seventeenth embodiment, which is the method of the sixteenth embodiment, further comprising allowing a fluid to flow through at least a portion of the flow path in a second direction, wherein fluid flowing through the flow path in the second direction is communicated at a rate of not more than a second rate.
An eighteenth embodiment, which is the method of the seventeenth embodiment, wherein the first rate comprises a relatively high rate and the second rate comprises a relatively low rate.
A nineteenth embodiment, which is the method of one of the seventeenth through the eighteenth embodiments, wherein the first direction is generally into the wellbore and the second direction is generally out of the wellbore.
A twentieth embodiment, which is the method of one of the seventeenth through the nineteenth embodiments, wherein movement of fluid through the fluidic diode in the first direction may be characterized as relatively low-resistance.
A twenty-first embodiment, which is the method of one of the seventeenth through the twentieth embodiments, wherein movement of fluid through the fluidic diode in the second direction may be characterized as relatively high-resistance.
A twenty-second embodiment, which is the method of one of the seventeenth through the twenty-first embodiments, wherein movement of fluid through the fluidic diode in the first direction may be characterized as relatively continuous and uninterrupted.
A twenty-third embodiment, which is the method of one of the seventeenth through the twenty-second embodiments, wherein movement of fluid through the fluidic diode in the second direction may be characterized as contributing to the formation of eddies, cross-currents, counter-currents, or combinations thereof, wherein the eddies, cross-currents, counter-currents, or combinations thereof interfere with fluid movement in the second direction.
At least one embodiment is disclosed and variations, combinations, and/or modifications of the embodiment(s) and/or features of the embodiment(s) made by a person having ordinary skill in the art are within the scope of the disclosure. Alternative embodiments that result from combining, integrating, and/or omitting features of the embodiment(s) are also within the scope of the disclosure. Where numerical ranges or limitations are expressly stated, such express ranges or limitations should be understood to include iterative ranges or limitations of like magnitude falling within the expressly stated ranges or limitations (e.g., from about 1 to about 10 includes, 2, 3, 4, etc.; greater than 0.10 includes 0.11, 0.12, 0.13, etc.). For example, whenever a numerical range with a lower limit, Rl, and an upper limit, Ru, is disclosed, any number falling within the range is specifically disclosed. In particular, the following numbers within the range are specifically disclosed: R=Rl+k*(Ru−Rl), wherein k is a variable ranging from 1 percent to 100 percent with a 1 percent increment, i.e., k is 1 percent, 2 percent, 3 percent, 4 percent, 5 percent, . . . , 50 percent, 51 percent, 52 percent, . . . , 95 percent, 96 percent, 97 percent, 98 percent, 99 percent, or 100 percent. Moreover, any numerical range defined by two R numbers as defined in the above is also specifically disclosed. Use of the term “optionally” with respect to any element of a claim means that the element is required, or alternatively, the element is not required, both alternatives being within the scope of the claim. Use of broader terms such as comprises, includes, and having should be understood to provide support for narrower terms such as consisting of, consisting essentially of, and comprised substantially of. Accordingly, the scope of protection is not limited by the description set out above but is defined by the claims that follow, that scope including all equivalents of the subject matter of the claims. Each and every claim is incorporated as further disclosure into the specification and the claims are embodiment(s) of the present invention.
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| Number | Date | Country | |
|---|---|---|---|
| 20140151062 A1 | Jun 2014 | US |