This disclosure relates generally to methods and systems for hydrocarbon exploration and production.
In hydrocarbon exploration and production, successful delivery of hydrocarbon wells is often limited by the inability to accurately describe the in-situ wellbore environment in an appropriate time frame. This generally stems from either a lack of downhole data or an inability to process the data gathered into meaningful information. The fact that measurements are commonly made at only two points in the well (at the surface and in the bottom hole assembly (BHA)) also imposes limitations on the ability to understand what is happening downhole. Due to acquiring measurements at only two points, the properties of a fraction of the wellbore being drilled—in general just the area around the BHA—are obtained, leaving significant gaps in assessing the condition of the wellbore. This can affect the ability to accurately detect and diagnose problems (both cause and location).
This lack of empirical data during drilling means that other techniques must be employed in an attempt to fill in the blanks. This usually involves the use of either first principle, statistical or hybrid models. While these models can be useful in certain situations, it is desirable to actually “see” what is happening throughout the wellbore, irrespective of the quality of supporting models (or their setup). Accordingly, there is a need for methods and systems of determining borehole conditions using distributed measurement data along the drill string.
According to implementations, multiple sensors in a wellbore can be utilized in a high density sweep analysis. In particular, annular pressures, recorded by the multiple sensors as the sweep is circulated, can be utilized to analyze the performance of a high density sweep. The high density sweep analysis can be used to create a prediction of the impact of circulating a high density sweep. The high density sweep analysis can calculate the position of the high density sweep in the well during the circulation by utilizing the multiple sensors. The high density sweep analysis can factor in any fluid displaced in the annulus by moving a drill string as well as making use of the actual flow rates recorded at the drilling system during the circulation. High density sweep analysis can calculate the anticipated change in annulus pressure measured at a fixed point on the drill string caused by the transit of the sweep through the wellbore. By attempting to understand how the sweep should impact the annular pressures in the wellbore during circulation, it is possible to derive information about the presence of solids in the well, their likely location and whether or not the wellbore is clean prior to tripping out of the well.
For instance, implementations are directed to methods for determining conditions in a hydrocarbon well. The methods include causing a high density sweep to be introduced into a wellbore, wherein the wellbore comprises a drill string. The methods also include determining a pressure measurement for each of a plurality of sensors as the high density sweep travels through the wellbore. Further, the methods include performing a high density sweep analysis based on the pressure measurement for each of the plurality of sensors.
Implementations are also directed to systems for determining conditions in a hydrocarbon well. The systems include a plurality of sensors positioned in a wellbore. The wellbore includes a drill string. The systems also include a computer system configured to perform methods. The methods include determining, after a high density sweep is introduced into the wellbore, a pressure measurement for each of a plurality of sensors as the high density sweep travels through the wellbore. The methods also include performing a high density sweep analysis based on the pressure measurement for each of the plurality of sensors.
Implementations are also directed to computer readable storage media. The computer readable storage media include instructions for causing one or more processors to perform methods for determining conditions in a hydrocarbon well. The methods include determining, after a high density sweep is introduced into a wellbore, a pressure measurement for each of a plurality of sensors as the high density sweep travels through the wellbore, wherein the wellbore comprises a drill string. The methods also include performing a high density sweep analysis based on the pressure measurement for each of the plurality of sensors.
Various features of the implementations can be more fully appreciated, as the same become better understood with reference to the following detailed description of the implementations when considered in connection with the accompanying figures, in which:
For simplicity and illustrative purposes, the principles of the present teachings are described by referring mainly to examples of various implementations thereof. However, one of ordinary skill in the art would readily recognize that the same principles are equally applicable to, and can be implemented in, all types of information and systems, and that any such variations do not depart from the true spirit and scope of the present teachings. Moreover, in the following detailed description, references are made to the accompanying figures, which illustrate specific examples of various implementations. Electrical, mechanical, logical and structural changes can be made to the examples of the various implementations without departing from the spirit and scope of the present teachings. The following detailed description is, therefore, not to be taken in a limiting sense and the scope of the present teachings is defined by the appended claims and their equivalents.
As illustrated, a wellbore 102 can be created utilizing a drill string 104 having a drilling assembly conveyed downhole by a tubing. The drill string 104 can be used in vertical wellbores or non-vertical (e.g. horizontal, angled, etc.) wellbores. The drilling string 104 can include a bottom hole assembly (BHA) 108, which can include a drill bit. The BHA 108 can include commonly-used drilling sensors such as those described below.
In implementations, the drill string 104 can also include a variety of sensors 110 along its length for determining various downhole conditions in the wellbore 102. Such properties include without limitation, drill string pressure, annulus pressure, drill string temperature, annulus temperature, etc. However, as will be described in more detail below for certain implementations, more specialized sensors may be employed for sensing specific properties of downhole fluids. Such sensors can detect for example without limitation, radiation, fluorescence, gas content, or combinations thereof As such, the sensors 110 may include without limitation, pressure sensors, temperature sensors, gas detectors, spectrometers, fluorescence detectors, radiation detectors, rheometers, or combinations thereof Likewise, in implementations, the sensors 110 can also include sensors for measuring drilling fluid properties such as without limitation viscosity, flow rate, fluid compressibility, pH, fluid density, solid content, fluid clarity, and temperature of the drilling fluid at two or more downhole locations. Any of the sensors 110 can also be disposed in the BHA 108.
Data from the sensors 110 can be processed downhole and/or at the surface at a computer system 112. As illustrated, the computer system 112 can be coupled to the sensors by a wire 114. Likewise, the computer system 112 and the sensors 110 can be configured to communicate using wireless signals and protocols. Corrective actions can be taken based upon assessment of the downhole measurements, which may require altering the drilling fluid composition, altering the drilling fluid pump rate or shutting down the operation to clean the wellbore. The drilling system 100 contains one or more models, which may be stored in memory downhole or at the surface. These models are utilized by a downhole computer system and/or the computer system 112 to determine desired drilling parameters for continued drilling. The drilling system 100 can be dynamic, in that the downhole sensor data can be utilized to update models and algorithms in real time during drilling of the wellbore and the updated models can then be utilized for continued drilling operations. Likewise, the computer system 112 can utilize measurements from the sensors 110 to determine conditions in the wellbore 102.
In implementations, the sensors 110 can be placed on the drill string 104 and within the wellbore 102, itself, depending on the type of conditions monitored, the type of data collected, and the processes used to analysis the data. In implementations, the sensors 110 can be positioned so that the sensors 110 are concentrated in the open hole. The open hole consists of the area of the wellbore 102 that does not include a casing. In implementations, the sensors 110 can be positioned so that the sensors 110 are biased towards the open hole with some coverage within the casing. In implementations, the sensors 110 can be positioned so that the sensors 110 are evenly distributed within the wellbore 102.
As shown in
The network interface 168 can be a conventional interface or adapter by way of which the workstation 150 can access network resources on the network 154. As shown in
The server computer 152 can be a computer system, of a conventional architecture similar, in a general sense, to that of the workstation 150, and as such includes one or more central processing units, system buses, and memory resources, network interfaces, and the like. The server computer 152 can be coupled to a program memory 170, which is a computer-readable medium that stores executable computer program instructions, according to which the processes described below can be performed. The computer program instructions can be executed by the server computer 152, for example in the form of a “web-based” application, upon input data communicated from the workstation 150, to create output data and results that are communicated to the workstation 150 for display or output by the peripheral devices 162 in a form useful to the human user of the workstation 150. In addition, a library 172 can also available to the server computer 152 (and the workstation 150 over the network 154), and can store such archival or reference information as may be useful in the computer system 112. The library 172 can reside on another network and can also be accessible to other associated computer systems in the overall network.
Of course, the particular memory resource or location at which the measurements, the library 172, and the program memory 170 physically reside can be implemented in various locations accessible to the computer system 112. For example, these measurement data and computer program instructions for performing the processes described herein can be stored in local memory resources within the workstation 150, within the server computer 152, or in network-accessible memory resources. In addition, the measurement data and the computer program instructions can be distributed among multiple locations. It is contemplated that those skilled in the art will be readily able to implement the storage and retrieval of the applicable measurements, models, and other information useful in connection with implementations, in a suitable manner for each particular application.
In implementations, the computer system 112 can utilize measurements from the sensors 110 in order to determine conditions in the wellbore 102. Described below are several examples of processes that can be performed utilizing the sensors 110 to determine conditions within the wellbore 102 according to various implementations.
ECD fingerprinting is an empirical method that can be used to measure the impact of changes in flow rate of drilling fluid and rotation speed of the drill string on the frictional back pressure in the wellbore. In general, frictional losses may only be significant in smaller diameter hole sizes (e.g., 14″ and lower) creating a limit on the applicability of the conventional method. The conventional method may also have some limitations including a maximum section length over which the technique is useful and sensitivity to changes in the drilling fluid system properties (although at least one of these, density, can manually be adjusted for). When applied correctly, ECD fingerprinting provides an alternative to hydraulic modeling techniques and has the advantage that the baseline that it generates is calibrated to the specific sensors and wellbore conditions of the section in which it is performed.
In the conventional methods for ECD fingerprinting, a pressure measurement of annulus press is taken at only one point along a drill string during operation of the drill string. The pressure measurement is then used in combination with a static measurement to work out the additional pressure caused by friction of the fluid flow of the drilling fluid and rotation of the drill string. The pressure contribution due to flow friction and rotation effects is given by the equation:
P
friction+rotation
=P
1
−P
1static
where P1 is the pressure measurement at the one point along the drill string during operation and P1static is the static pressure.
From this, an equivalent pressure drop per unit length can be calculated from the pressure contribution due to frictional and rotational effects. The equivalent pressure drop is give by the equation:
P
drop per unit length
=P
friction+rotation
÷L
1
where L1 is the length of the drill string above the sensor at which the measurement is being made (the measured depth of the sensor).
The drawbacks to the conventional methods, with only one pressure measurement, are that the method assumes that the frictional pressure drop is spread evenly throughout the wellbore. This is typically not the case. Typically, the diameter of the wellbore varies throughout the length of the well. Smaller diameter sections of the wellbore will, in general, have a higher pressure drop so that the Pdrop per unit length calculated using the above equations underestimates the frictional drop in the smaller diameter sections and overestimates the drop in the larger diameters sections of the wellbore.
Because of this, additional error is introduced into the subsequent calculations. Once Pdrop per unit length has been calculated, it is used to predict the pressure that would be seen while drilling with a completely clean wellbore (one in which no drilled solids are present). This is done by adding the static density at the current sensor depth to the Pdrop per unit length multiplied by the measured depth of the sensor. This is given by the equation:
P
predicted
=P
drop per unit length
×D
sensor
+P
static
where Dsensor is the measured depth of the sensor and Pstatic is the static pressure at the Dsensor obtained either from hydraulic modeling or by direct measurement.
If the sensor is located in the different diameter area than other sections of the wellbore, error is introduced into this calculation. For example, if located in a smaller diameter section of the wellbore that is increasing in length due to drilling, the calculation gives a value which is less than it should be because the Pdrop per unit length is under valued in the smaller diameter section of the wellbore.
According to implementations, the sensors 110 on the drill string 104 can be utilized to address these errors. In particular, by utilizing multiple ones of the sensors 110, the pressure drop in each section of the wellbore can be classified accurately.
In 202, the process can begin. In 204, sensors can be positioned in the wellbore. For example, the sensor 110 can be positioned within the wellbore 102 in order to account for varying diameters of the wellbore 102.
In 206, the computer system 112 can measure depth and static pressure at each of the multiple sensors. As illustrated in
In 208, a test flow rate of drilling fluid and test rotation rate of drilling string can be set within the wellbore. The test flow rate of drilling fluid and test rotation rate can be set by the computer system 112 or other control system in the drilling system 100. Table 1 illustrates examples of the test flow rate of drilling fluid and test rotation rate.
In 210, the computer system 112 can measure the pressure at each of the multiple sensors under the test flow rate of drilling fluid and test rotation rate. For example, as illustrated in
In 214, the computer system 112 can perform ECD fingerprint calculations for each test flow rate and test rotation rate. For example, referring to
P
drop per unit length 1
=[[P
1
−P
1static
]−[P
2
−P
2static
]]÷[L
1
−L
2]
where P1 is the pressure measured at sensor 1 under a particular flow and rotation, P1static is the static pressure at measured sensor 1, P2 is the pressure measured at sensor 2 under the particular flow and rotation, P2static is the static pressure measured at sensor 2, L1 is the depth of sensor 1, and L2 is the depth of sensor 2.
P
drop per unit length 2
=[[P
2
−P
2static
]−[P
3
−P
3static
]]÷[L
2
−L
3]
where P2 is the pressure measured at sensor 2 under the particular flow and rotation, P2static is the static pressure at measured sensor 2, P3 is the pressure measured at sensor 3 under the particular flow and rotation, P3static is the static pressure measured at sensor 3, L2 is the depth of sensor 2, and L3 is the depth of sensor 3.
P
drop per unit length 3
=[P
3
−P
3static
]÷[L
3]
where P3 is the pressure measured at sensor 3 under the particular flow and rotation, P3static is the static pressure measured at sensor 3, and L3 is the depth of sensor 3 (Note in this case sensor 3 is the shallowest sensor in the wellbore and no sensors are present above this point). Where it is possible to measure static pressures a comparison can also be made between the measured static pressure for each sensor and the modeled.
These calculations allow the frictional drop in each section of the annulus for each combination of flow and rotation to be calculated. Additionally, the computer system 112 can calculate the anticipated annular pressure while drilling for each of the sensor 1306, sensor 2308, and sensor 3310. The anticipated annular pressure for sensor 1306 is given by the equation:
P
1 Drilling
=P
1 Static
+[P
Drop per unit length 1×(Lx−L2)]+[PDrop per unit length 2×(L2−L3)]+[PDrop per unit length 3×L3]
where sensor 1306 is located deeper than L2; P1 Drilling=A calculated value of the clean wellbore pressure expected at sensor 1306, P1 Static=Static pressure derived either from a model or where available, direct measurement; PDrop per unit length 1=The pressure drop per unit length as calculated in the equation described above; PDrop per unit length 2=The pressure drop per unit length as calculated in the equation described above; PDrop per unit length 3=The pressure drop per unit length as calculated in the equation described above; Lx=The current measured depth of sensor 1306; L2=The measured depth of sensor 2308 when the ECD fingerprint operation was undertaken; and L3=The measured depth of sensor 3310 when the ECD fingerprint operation was undertaken.
The anticipated annular pressure for sensor 2308 while the sensor depth is greater than L2 is given by the equation:
P
2 Drilling
=P
2 Static
+[P
Drop per unit length 1×(Ly−L2)]+[PDrop per unit length 2×(L2−L3)]+[PDrop per unit length 3×L3]
where sensor 2308 is located deeper than L2; P2 Drilling=A calculated value of the clean wellbore pressure expected at sensor 2308; P2 Static=Static pressure derived either from a model or where available, direct measurement; PDrop per unit length 1=The pressure drop per unit length as calculated in the equation described above; PDrop per unit length 2=The pressure drop per unit length as calculated in the equation described above; PDrop per unit length 3=The pressure drop per unit length as calculated in the equation described above; Ly=The current measured depth of sensor 2308; L2=The measured depth of sensor 2308 when the ECD fingerprint operation was undertaken; and L3=The measured depth of sensor 3310 when the ECD fingerprint operation was undertaken.
The anticipated annular pressure for sensor 3310 while the sensor depth is greater than L3 and less than L2 is given by the equation:
P
3 Drilling
=P
3 Static
+[P
Drop per unit length 2×(Lz−L3)]+[PDrop per unit length 3×L3]
where sensor 3310 is located deeper than L3 and shallower than L2; P3 Drilling=A calculated value of the clean wellbore pressure expected at sensor 3310; P3 Static=Static pressure derived either from a model or, where available, direct measurement; PDrop per unit length 2=The pressure drop per unit length as calculated in the equation described above; PDrop per unit length 3=The pressure drop per unit length as calculated in the equation described above; Lz=The current measured depth of sensor 3310; L2=The measured depth of sensor 2308 when the ECD fingerprint operation was undertaken; and L3=The measured depth of sensor 3310 when the ECD fingerprint operation was undertaken.
The anticipated annular pressure for sensor 3310 while the sensor depth is greater than L2 is given by the equation
P
3drilling
=P
3model
+[p2−p2static]+[[(P1−P1static)−(P2−P2static)]/(L1−L2)]×(Lz−L2)
where P3model is determined from a hydraulic model prediction of mud density at the depth of sensor 3310 and where Lz is the measured depth of sensor 3310.
According to these equations the impact of any constant offset error in the sensors is removed and relies only on the ability of each sensor to accurately detect changes in pressure.
In 216, the computer system 112 can output the results of the ECD fingerprint calculations. For example, the computer system 112 can output the results on the peripheral devices 162. The computer system 112 can output the results in numerical form. Likewise, the computer system 112 can output the results in graphical form.
In 218, the process can end, repeat, or return to any stage.
The availability of annular pressure measurements along the drill string presents a unique opportunity to remove error from ECD fingerprinting. By positioning a sensor in the drill string so that, during the fingerprinting, it is located just above the final change in internal casing diameter a measurement can be made of the total static frictional pressure loss of the entire wellbore above the last annulus. Because all but the final annulus will remain unchanged in length during the drilling of the next section, this amalgamated frictional drop can simply be added to any value calculated for the final annulus and subsequent open hole as drilling continues. Because individual measurements of static density are taken prior to commencing the fingerprinting, the fact that there may be a constant offset error on a given measurement section does not matter. All that is desired is the relative changes in pressure during the flow and rotation tests. The application of this method to the fingerprinting process will help to mitigate the impact of errors caused by variation in frictional pressure losses in differing diameter annular sizes.
High density sweeps are commonly used to enhance solids suspension and transport during well construction operations. This is especially true in environments where the ability to transport solids around the wellbore is known to be less than ideal (for example in large diameter intermediate or high inclination wellbores). High density sweeps work by increasing the buoyancy force exerted on solids in the wellbore in the vicinity of the sweep (if the viscosity of the sweep is increased this can also have an impact although the use of viscosified sweeps in anything other than near vertical wellbores is not recommended due to flow diversion to the high side of the well). This increase in buoyancy makes the solids easier to re-suspend and, once re-suspended, easier to transport. The effectiveness of these sweeps is normally judged by observation of the increase in the volume of material returned to surface with the sweep.
In implementations, the sensors 110 can be utilized in a high density sweep analysis. In particular, annular pressures, recorded by the sensors 110 as the sweep is circulated, can be utilized to provide another method of analyzing the performance of a high density sweep. The high density sweep analysis can be used to create a prediction of the impact of circulating a high density sweep. The key to the high density sweep analysis is the ability to calculate the position of the high density sweep in the well during the circulation by utilizing the sensors 110. The high density sweep analysis can factor in any fluid displaced in the annulus by moving the drill string 104 as well as making use of the actual flow rates recorded at the drilling system 100 during the circulation. High density sweep analysis may not account for frictional pressure losses into account in the calculations, rather it calculates the anticipated change in annulus pressure measured at a fixed point on the drill string caused by the transit of the sweep through the wellbore 102. According to implementations, by attempting to understand how the sweep should impact the annular pressures in the wellbore during circulation, it is possible to derive information about the presence of solids in the well, their likely location and whether or not the hole is clean prior to tripping out of the well.
In 602, the process can begin. In 604, a high density sweep can be introduced into the wellbore 102. Any type of material and process can be utilized in the high density sweep.
In 606, the computer system 112 can measure the pressure with the sensors 110 in the wellbore 102 as the high density sweep travels through the wellbore 102. For example, the computer system 112 can communicate with the sensors 110 to obtain pressure measurement as the high density sweep travels through the wellbore 102.
In 608, the computer system 112 can preform the high density sweep analysis based on the measured pressure from the sensors 110. The computer system 112 can utilize algorithms to calculate the changes in hydrostatic pressure loading that would occur as the high density sweep circulated around the wellbore 102. The pressures calculated by the algorithms do not include the rest of the mud column, only the changes to the hydrostatic pressure that is experienced at a particular point on the drill string as a high density sweep is pumped around the well. These predicted changes can then be overlaid on the actual measured pressure data for comparison. In order to facilitate the process of overlaying the predictions on the actual data, real-time drill bit depth and flow rates during the circulation of the high density sweep can be used in the calculation process. Drill bit depth can be used to calculate sensor depths and annular flow rate variations caused by changes in the drilling fluid displaced by the moving drill string. The flow rate calculations can be used to calculate an accurate position of the high density sweep in the wellbore.
For example, positions at the top and bottom of the high density sweep can calculated at each time step by working out the volume of fluid pumped and volume of fluid displaced by the drill string 104. Once this is done, the distance, the top, and the bottom of the high density sweep, have moved in the annulus is calculated using their current positions and the annulus cross sectional area of the wellbore 102.
Once the location of the top and bottom of the high density sweep are known the vertical depth of each can be determined by correlating the calculated measured depth to the true vertical depth (TVD) using trajectory data. The vertical height between the top and bottom at the high density sweep can then used to calculate the pressure change. The pressure change is given by the equation:
ΔP=TVD×[(Rhosweep−Rhomud)×0.052]
where Rhosweep is the density of the high density sweep and Rhomud is the density of the drilling mud (in pounds per US gallon for example). The equation can produce a signature for the circulation of the high density sweep.
The signature can be overlaid on the actual pressure data to allow comparison of the predicted and actual data. The method can be further expanded by integrating it with the ECD fingerprint processes described above so that the curve is automatically adjusted to the correct vertical position on a chart of the actual pressure data and the predicted pressure data.
Because the calculation uses actual flow rate and drill bit depth data, once the prediction is fitted to the data measured by the sensors, the process can predict arrival times of the high density sweep on all sensors meaning that it can be used to judge whether or not an interval at the wellbore 102 between any 2 sensors is over or under gauge. If the high density sweep arrives late at a sensor then the high density sweep indicates that the volume of the annulus between the sensors is greater than planned—an equivalent diameter can then be calculated for the interval. The equivalent diameter can be calculated using the following equation:
where Actual arrival time and predicted arrival time are in minutes, where average flow rate is in cubic feet per minute, where distance between sensors is in feet, where Planned hole diameter is in feet.
If there is a good fit between the shape of the predicted and actual curves, then either the high density sweep is not picking any material up (i.e. is ineffective) or there is no material to pick up. If the match between predicted and actual curves is poor then the points and magnitudes of depths can be used to determine quantity and location of settled material. By examining the fit on deep and shallow sensors, it is also possible to gauge whether or not material mobilized at depth is being transported to surface. If the fit between predicted and actual is poor downhole but good closer to the surface, the fit can imply that, while material is being mobilized deeper in the wellbore 102, the material never reaches the surface.
In 610, the computer system 112 can output the results of the high density sweep analysis. For example, the computer system 112 can output the results on the peripheral devices 162. The computer system 112 can output the results in numerical form. Likewise, the computer system 112 can output the results in graphical form. In 612, the process can end, repeat, or return to any stage.
As in previous examples the main benefit of multiple measurements of annular pressure along the drill string 104 is the ability to monitor the changing pressure response caused by the high density sweep as it moves through the wellbore 102. In addition to determining whether the high density sweep is picking up additional material, the process can determine whether the material is subsequently transported back to surface.
The inclusion of multiple sensors, such as sensors 110, in the drill string 104 allows the wellbore 102 to be sectioned up into intervals bounded by any two sensors. In an open system, pressure can be an amalgamation of anything happening above the point of measurement. By utilizing this fact, it can be possible to isolate the pressure events occurring in a single section of the wellbore 102 bounded by any two sensors. This can be achieved by subtracting the pressure measured on the shallower sensor from that measured on the deeper. The subtraction leaves only the pressure caused by “events” in the interval between the two sensors. Part of the “events” can be the hydrostatic component which is relatively straightforward to factor out. The remainder can be made up of anything else that impacts the pressure measured by the sensor in the interval, including transported solids and frictional effects. Depending on the sensor 110 spacing, as well as wellbore 102 diameter, the frictional effects can be significantly smaller in magnitude than the effects of solids suspended in the flow. This process can be used in conjunction with time series data to provide information about the flow of solids both in and out of a given interval between 2 sensors and thus information about whether or not material is building up in a particular section of the wellbore 102.
In 802, the process can begin. In 804, sensors can be positioned in the wellbore. For example, the sensor 110 can be positioned at varying intervals within the wellbore 102.
In 806, the computer system 112 can measure the pressure at each of the multiple sensors over time. For example, in the example of
In 808, the computer system 112 can perform interval solids concentration analysis based on the measured pressure at each of the sensors. Pressure changes can then be isolated within intervals so it is possible to determine the origins of certain pressures during drilling. The origins of the pressures can be determined by isolating the pressures within the interval, e.g. removing the pressures seen by sensors above the interval of interest.
For example, in the example illustrated in
P
a
−P
b
=P
ab
where Pa is the pressure measured by the sensor a 906 and Pb is the pressure measured by the sensor b 908.
The Pab can be caused by several factors. The factors can include the hydrostatic pressure exerted by the fluid column between the sensor a 906 and the sensor b 908; any frictional pressure losses occurring between the sensor a 906 and the sensor b 908; anything else located between the sensor a 906 and the sensor b 908 that has an impact on annular pressure—for example suspended solids. The interval pressure can be determined for any combination of sensors to provide information about the interval by bound two sensors.
Once the interval pressure (e.g. Pab) has been obtained, it can be used to extract information. Using predictions of static mud density the effect at the mud column can be factored out. This is done by calculating an average mud density between the pair of sensors. For example, if looking at the interval 1 between the sensor a 906 and the sensor b 908, the average mud density can be determined by the equation:
This can then be multiplied by the vertical distance between the sensors to create a pressure exerted by the mud alone over that interval.
P
mud=Avg density ×(TVDa−TVDb)×0.052
where Pmud in psi; Avg density in ppg; TVDa and TVDb in ft.
The pressure exerted by the mud Pmud can then be subtracted from Pab to provide information about any pressure events not caused by the fluid column. Because the pressure measured by sensor b 908 has already been removed this allows us to see changing pressure events between the sensor a 906 and the sensor b 908 in time.
Pab can also be used to calculate an equivalent circulating density over the interval 1. This can be given by the equation
where ECDab in ppg; Pab in psi; TVDa and TVDb in ft. By monitoring these changes in interval ECD it is possible to determine changes in downhole conditions. The computer system 112 can perform the above calculations for any interval between two sensors.
In 812, the computer system 112 can output the results of the interval solids concentration analysis. For example, the computer system 112 can output the results one the peripheral devices 162. The computer system 112 can output the results in numerical form. Likewise, the computer system 112 can output the results in graphical form. In 812, the process can end, repeat, or return to any stage.
Certain implementations described above can be performed as a computer applications or programs. The computer program can exist in a variety of forms both active and inactive. For example, the computer program can exist as one or more software programs, software modules, or both that can be comprised of program instructions in source code, object code, executable code or other formats; firmware program(s); or hardware description language (HDL) files. Any of the above can be embodied on a computer readable medium, which include computer readable storage devices and media, and signals, in compressed or uncompressed form. Examples of computer readable storage devices and media include conventional computer system RAM (random access memory), ROM (read-only memory), EPROM (erasable, programmable ROM), EEPROM (electrically erasable, programmable ROM), and magnetic or optical disks or tapes. Examples of computer readable signals, whether modulated using a carrier or not, are signals that a computer system hosting or running the present teachings can be configured to access, including signals downloaded through the Internet or other networks. Concrete examples of the foregoing include distribution of executable software program(s) of the computer program on a CD-ROM or via Internet download. In a sense, the Internet itself, as an abstract entity, is a computer readable medium. The same is true of computer networks in general.
While the teachings have been described with reference to examples of the implementations thereof, those skilled in the art will be able to make various modifications to the described implementations without departing from the true spirit and scope. The terms and descriptions used herein are set forth by way of illustration only and are not meant as limitations. In particular, although the method has been described by examples, the steps of the method may be performed in a different order than illustrated or simultaneously. Furthermore, to the extent that the terms “including”, “includes”, “having”, “has”, “with”, or variants thereof are used in either the detailed description and the claims, such terms are intended to be inclusive in a manner similar to the term “comprising.” As used herein, the terms “one or more of and “at least one of with respect to a listing of items such as, for example, A and B, means A alone, B alone, or A and B. Further, unless specified otherwise, the term “set” should be interpreted as “one or more.” Those skilled in the art will recognize that these and other variations are possible within the spirit and scope as defined in the following claims and their equivalents.
This application claims priority to U.S. Provisional Application No. 61/726,673 filed Nov. 15, 2012, the disclosure of which is incorporated by reference herein in its entirety. This application is related to U.S. patent application Ser. No. ______, filed ______, entitled “SYSTEMS AND METHODS FOR DETERMINING ENHANCED EQUIVALENT CIRCULATING DENSITY AND INTERVAL SOLIDS CONCENTRATION IN A WELL SYSTEM USING MULTIPLE SENSORS” to Christopher Coley and Stephen Edwards, the disclosure of which is incorporated by reference herein in its entirety.
Number | Date | Country | |
---|---|---|---|
61726673 | Nov 2012 | US |