CA2699855A1 - Method and system for interpreting swabbing tests using nonlinear regression - Google Patents

Method and system for interpreting swabbing tests using nonlinear regression Download PDF

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Publication number
CA2699855A1
CA2699855A1 CA2699855A CA2699855A CA2699855A1 CA 2699855 A1 CA2699855 A1 CA 2699855A1 CA 2699855 A CA2699855 A CA 2699855A CA 2699855 A CA2699855 A CA 2699855A CA 2699855 A1 CA2699855 A1 CA 2699855A1
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Canada
Prior art keywords
reservoir
wellbore
pipe
measured
pressure
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Granted
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CA2699855A
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French (fr)
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CA2699855C (en
Inventor
Jose A. Caldera
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Schlumberger Canada Ltd
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Schlumberger Canada Limited
Jose A. Caldera
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Publication of CA2699855A1 publication Critical patent/CA2699855A1/en
Application granted granted Critical
Publication of CA2699855C publication Critical patent/CA2699855C/en
Expired - Fee Related legal-status Critical Current
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Classifications

    • EFIXED CONSTRUCTIONS
    • E21EARTH DRILLING; MINING
    • E21BEARTH DRILLING, e.g. DEEP DRILLING; OBTAINING OIL, GAS, WATER, SOLUBLE OR MELTABLE MATERIALS OR A SLURRY OF MINERALS FROM WELLS
    • E21B49/00Testing the nature of borehole walls; Formation testing; Methods or apparatus for obtaining samples of soil or well fluids, specially adapted to earth drilling or wells
    • E21B49/008Testing the nature of borehole walls; Formation testing; Methods or apparatus for obtaining samples of soil or well fluids, specially adapted to earth drilling or wells by injection test; by analysing pressure variations in an injection or production test, e.g. for estimating the skin factor
    • EFIXED CONSTRUCTIONS
    • E21EARTH DRILLING; MINING
    • E21BEARTH DRILLING, e.g. DEEP DRILLING; OBTAINING OIL, GAS, WATER, SOLUBLE OR MELTABLE MATERIALS OR A SLURRY OF MINERALS FROM WELLS
    • E21B47/00Survey of boreholes or wells
    • E21B47/06Measuring temperature or pressure

Abstract

A method for increasing production in a reservoir, comprising performing a swabbing test at a depth in a pipe, wherein the pipe is located in a wellbore and wherein a portion of the wellbore is located inside the reservoir, periodically measuring, during the swabbing test, pressure in the bottom portion of the pipe using the pressure gauge to obtain a plurality of pressure measurements, wherein the pressure gauge is affixed to an inner wall of a bottom portion of the pipe, and determining a plurality of flow rates of fluid flowing from the reservoir through perforations in the wellbore into the pipe using a flow rate equation and the plurality of pressure measurements.

Claims (20)

1. A method for increasing production in a reservoir, comprising:
performing a swabbing test at a depth in a pipe, wherein the pipe is located in a wellbore and wherein a portion of the wellbore is located inside the reservoir;
periodically measuring, during the swabbing test, pressure in the bottom portion of the pipe using the pressure gauge to obtain a plurality of pressure measurements, wherein the pressure gauge is affixed to an inner wall of a bottom portion of the pipe; and determining a plurality of flow rates of fluid flowing from the reservoir through perforations in the wellbore into the pipe using a flow rate equation and the plurality of pressure measurements.
2. The method of claim 1 further comprising:
generating, after determining a plurality of flow rates of fluid, a model of the reservoir using the plurality of flow rates of fluid, wherein the model is used to determine a production potential of the reservoir.
3. The method of claim 2, wherein generating the model of the reservoir comprises:
determining a permeability of the reservoir using a nonlinear regression model and the plurality of flow rates.
4. The method of claim 3, further comprising:
determining, after generating the model, an operation to perform, using the permeability, to increase the production of hydrocarbons in the reservoir, wherein the operation comprises at least one from a group consisting of drilling an additional wellbore, drilling a lateral in the wellbore, fracturing the formation, and installing and operating production equipment; and performing the operation.
5. The method of claim 1, wherein the flow rate equation comprises:
Q(i) = [kh(P i-P(i))]/{162.6B0µ[log(kt/(.PHI.µc t r w 2)-3.23+0.868s]}

wherein Q(i) is the instantaneous flow rate at time i, k is the permeability, measured in millidarcy (md), h is the thickness of the reservoir, measured in feet (ft), P i is the initial pressure, P(i) is the instantaneous pressure at time t i, B o is the formation volume factor (a unitless number), µ is the viscosity, measured in centipoise (cP), t is the time, measured in hours, .PHI. is porosity in terms of a unitless fraction, c t is the total compressibility, measured in terms of inverse pounds per square inch (psi-1), r w is the radius of the pipe, measured in feet (ft), and s is the skin, a unitless number.
6. The method of claim 1, wherein the plurality of pressure measurements is taken continuously.
7. The method of claim 1, wherein the plurality of flow rates is determined after the swabbing test concludes.
8. The method of claim 1, wherein the swabbing test is one of a plurality of swabbing tests and the depth in the wellbore is one of a plurality of depths in the wellbore.
9. A computer readable medium, embodying instructions executable by a computer to perform a method, the instructions comprising functionality to:
perform a swabbing test at a depth in a pipe, wherein the pipe is located in a wellbore and wherein a portion of the wellbore is located inside the reservoir;
periodically measure, during the swabbing test, pressure in the bottom portion of the pipe using the pressure gauge to obtain a plurality of pressure measurements, wherein the pressure gauge is affixed to an inner wall of a bottom portion of the pipe;

determine a plurality of flow rates of fluid flowing from the reservoir through perforations in the wellbore into the pipe using a flow rate equation and the plurality of pressure measurements; and generate a model of the reservoir using the plurality of flow rates of fluid, wherein the model is used to determine a production potential of the reservoir.
10. The computer readable medium of claim 9, further comprising instructions to:
determine, before generating the model of the reservoir, a permeability of the reservoir using a nonlinear regression model and the plurality of flow rates.
11. The computer readable medium of claim 10, further comprising:
determine, after generating the model of the reservoir, an operation to perform, using the permeability, to increase the production of hydrocarbons in the reservoir, wherein the operation comprises at least one from a group consisting of drilling an additional wellbore, drilling a lateral in the wellbore, fracturing the formation, and installing and operating production equipment.
12. The computer readable medium of claim 9, wherein the flow rate equation comprises:
Q(i) = [kh(P i-P(1))]/{162.6B oµ[log(kt/(.PHI.µc t r w)-3.23+0.868s]}

wherein Q(i) is the instantaneous flow rate at time i, k is the permeability, measured in millidarcy (md), h is the thickness of the reservoir, measured in feet (ft), P i is the initial pressure, P(i) is the instantaneous pressure at time t i, B o is the formation volume factor (a unitless number), µ is the viscosity, measured in centipoise (cP), t is the time, measured in hours, .PHI. is porosity in terms of a unitless fraction, c t is the total compressibility, measured in terms of inverse pounds per square inch (psi-1), r w is the radius of the pipe, measured in feet (ft), and s is the skin, a unitless number.
13. The computer readable medium of claim 9, wherein the plurality of pressure measurements is taken continuously.
14. The computer readable medium of claim 9, wherein the plurality of flow rates is determined after the swabbing test concludes.
15. The computer readable medium of claim 9, wherein the swabbing test is one of a plurality of swabbing tests and the depth in the wellbore is one of a plurality of depths in the wellbore.
16. A computer readable medium, embodying instructions executable by a computer to perform a method, the instructions comprising functionality to:
perform a swabbing test at a depth in a pipe, wherein the pipe is located in the wellbore;

periodically measure, during the swabbing test, pressure in the bottom portion of the pipe using the pressure gauge to obtain a plurality of pressure measurements, wherein the pressure gauge is affixed to an inner wall of a bottom portion of the pipe;
determine a plurality of flow rates of fluid flowing from the reservoir through perforations in the wellbore into the pipe using a flow rate equation and the plurality of pressure measurements;
determine a permeability of the reservoir using a nonlinear regression model and the plurality of flow rates; and determine an operation to perform, using the permeability, to increase the production of hydrocarbons in the reservoir, wherein the operation comprises at least one from a group consisting of drilling an additional wellbore, drilling a lateral in the wellbore, fracturing the formation, and installing and operating production equipment.
17. The computer readable medium of claim 16, wherein the flow rate equation comprises:
Q(i) = [kh(P i-P(1))]/{162.6B oµ[log(kt/(.PHI.µc t r w2)-3.23+0.868s]}

wherein Q(i) is the instantaneous flow rate at time i, k is the permeability, measured in millidarcy (md), h is the thickness of the reservoir, measured in feet (ft), P i is the initial pressure, P(i) is the instantaneous pressure at time t i, B o is the formation volume factor (a unitless number), µ is the viscosity, measured in centipoise (cP), t is the time, measured in hours, .PHI. is porosity in terms of a unitless fraction, c t is the total compressibility, measured in terms of inverse pounds per square inch (psi-1), r w is the radius of the pipe, measured in feet (ft), and s is the skin, a unitless number.
18. The computer readable medium of claim 16, wherein the plurality of pressure measurements is taken continuously.
19. The computer readable medium of claim 16, wherein the plurality of flow rates are calculated after the swabbing test concludes.
20. The computer readable medium of claim 16, wherein the swabbing test is one of a plurality of swabbing tests and the depth in the wellbore is one of a plurality of depths in the wellbore.
CA2699855A 2007-09-28 2008-09-24 Method and system for interpreting swabbing tests using nonlinear regression Expired - Fee Related CA2699855C (en)

Applications Claiming Priority (5)

Application Number Priority Date Filing Date Title
US97638307P 2007-09-28 2007-09-28
US60/976,383 2007-09-28
US12/236,442 US8086431B2 (en) 2007-09-28 2008-09-23 Method and system for interpreting swabbing tests using nonlinear regression
US12/236,442 2008-09-23
PCT/US2008/077514 WO2009045816A2 (en) 2007-09-28 2008-09-24 Method and system for interpreting swabbing tests using nonlinear regression

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CA2699855A1 true CA2699855A1 (en) 2009-04-09
CA2699855C CA2699855C (en) 2012-06-19

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CA2699855A Expired - Fee Related CA2699855C (en) 2007-09-28 2008-09-24 Method and system for interpreting swabbing tests using nonlinear regression

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US (1) US8086431B2 (en)
AR (1) AR068290A1 (en)
CA (1) CA2699855C (en)
MX (1) MX2010003216A (en)
RU (1) RU2474682C2 (en)
WO (1) WO2009045816A2 (en)

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US8244509B2 (en) * 2007-08-01 2012-08-14 Schlumberger Technology Corporation Method for managing production from a hydrocarbon producing reservoir in real-time
GB2504197B (en) * 2012-05-25 2019-04-10 Schlumberger Holdings Automatic fluid coding and hydraulic zone determination
CA2874994C (en) * 2012-06-15 2017-02-07 Landmark Graphics Corporation Systems and methods for solving a multi-reservoir system with heterogeneous fluids coupled to a common gathering network
CN105829647B (en) 2013-11-19 2020-05-12 迈内克斯Crc有限公司 Borehole logging method and apparatus
GB2523751A (en) * 2014-03-03 2015-09-09 Maersk Olie & Gas Method for managing production of hydrocarbons from a subterranean reservoir
CN104847314B (en) * 2015-06-08 2017-07-18 四川大学 HTHP oil gas straight well single-phase flow perforation completion parameter optimization method
RU2673093C2 (en) * 2017-04-24 2018-11-22 Федеральное государственное бюджетное образовательное учреждение высшего образования "Уфимский государственный нефтяной технический университет" Method for express determination of the characteristics of the bottomhole formation zone applied when developing the well
US11378506B2 (en) 2017-12-12 2022-07-05 Baker Hughes, A Ge Company, Llc Methods and systems for monitoring drilling fluid rheological characteristics
CN109025959B (en) * 2018-07-04 2022-03-29 中国石油天然气股份有限公司 Method and device for determining height of perforation test combined liquid pad

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Also Published As

Publication number Publication date
US8086431B2 (en) 2011-12-27
CA2699855C (en) 2012-06-19
WO2009045816A9 (en) 2009-09-03
RU2010116746A (en) 2011-11-10
WO2009045816A2 (en) 2009-04-09
AR068290A1 (en) 2009-11-11
RU2474682C2 (en) 2013-02-10
US20090084544A1 (en) 2009-04-02
WO2009045816A3 (en) 2009-06-11
MX2010003216A (en) 2010-04-09

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