Numerical Well Test Analysis of Fractured Porous Reservoirs with Consideration of Stress-Sensitivity Effect
A computational algorithm is proposed for determining the acceptable range of bottom-hole pressure based on a composite indicator diagram constructed from well test data analysis in a deformable fractured porous oil reservoir. The behavior of the curves of drawdown and buildup pressure and their der...
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| Published in | Lobachevskii journal of mathematics Vol. 42; no. 9; pp. 2077 - 2081 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Moscow
Pleiades Publishing
01.09.2021
Springer Nature B.V |
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| Abstract | A computational algorithm is proposed for determining the acceptable range of bottom-hole pressure based on a composite indicator diagram constructed from well test data analysis in a deformable fractured porous oil reservoir. The behavior of the curves of drawdown and buildup pressure and their derivatives are analyzed in the case of a nonlinear elastic filtration regime in a fractured porous formation. A composite indicator diagram for determining the optimal bottom-hole pressure is constructed on the basis of the pressure buildup test interpretation and the Vogel’s method. |
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| AbstractList | A computational algorithm is proposed for determining the acceptable range of bottom-hole pressure based on a composite indicator diagram constructed from well test data analysis in a deformable fractured porous oil reservoir. The behavior of the curves of drawdown and buildup pressure and their derivatives are analyzed in the case of a nonlinear elastic filtration regime in a fractured porous formation. A composite indicator diagram for determining the optimal bottom-hole pressure is constructed on the basis of the pressure buildup test interpretation and the Vogel’s method. |
| Author | Abdullin, A. I. Shamsiev, M. N. Khairullin, M. Kh |
| Author_xml | – sequence: 1 givenname: A. I. surname: Abdullin fullname: Abdullin, A. I. email: abdullin@imm.knc.ru organization: Institute of Mechanics and Engineering, Kazan Scientific Center, Russian Academy of Sciences – sequence: 2 givenname: M. N. surname: Shamsiev fullname: Shamsiev, M. N. organization: Institute of Mechanics and Engineering, Kazan Scientific Center, Russian Academy of Sciences – sequence: 3 givenname: M. Kh surname: Khairullin fullname: Khairullin, M. Kh organization: Institute of Mechanics and Engineering, Kazan Scientific Center, Russian Academy of Sciences |
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| Keywords | inverse problem well testing pressure dependent permeability bottomhole pressure stress sensitive fractured porous reservoir nonlinear filtration |
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| References | KhairullinM. Kh.AbdullinA. I.MorozovP. E.ShamsievM. N.Numerical solution of the coefficient inverse problem for a deformable fractured porous reservoirMat. Model.20081135401164.76397 AzizH.SettariE.Mathematical Modeling of Reservoir Systems1982MoscowNedra0227.65021 AbdullinA. I.Approach to solving the inverse problem of filtration based on descriptive regularizationLobachevskii J. Math.20194018921896404363510.1134/S1995080219110027 NikolaevskyV. N.Geomechanics and Fluid Dynamics1996MoscowNedra10.1007/978-94-015-8709-9 DeSwaanA. O.Analytic solutions for determining naturally fractured reservoir properties by well testingSoc. Pet. Eng. J.1976311712210.2118/5346-PA BadertdinovaE. R.KhairullinM. Kh.ShamsievM. N.KhairullinR. M.Numerical method for solving the inverse problem of nonisothermal filtrationLobachevskii J. Math.201940718723398365010.1134/S1995080219060052 M. J. Fetkovich, ‘‘The isochronal testing of oil wells,’’ in Proceedings of the 48th Annual Fall Meeting, Las Vegas, NV, Sept. 30–Oct. 3, 1973, Paper SPE, No. 4529, pp. 78–84. BrillJ. P.MukherjeeH.Multiphase Flow in Wells1999Richardson, TXSPE BarenblattG. I.ZheltovYu. P.KochinaI. N.On the basic concepts of the theory of filtration of homogeneous fluids in fractured rocksPrikl. Mat. Mekh.196058528640104.21702 WarrenJ. E.RootP. J.The behavior of naturally fractured reservoirSoc. Pet. Eng. J.19630324525510.2118/426-PA van Golf-RachtT. D.Fundamentals of Fractured Reservoir Engineering1982LondonElsevier Sci NikolaevskyV. N.Advances in Well Test Analysis2006MoscowInst. Komp. Issled BasnievK. S.KochinaI. N.MaksimovV. M.Underground Hydromechanics1993MoscowNedra KazemiH.SethM. S.ThomasG. W.The interpretation of interference tests in naturally fractured reservoirs with uniform fracture distributionSoc. Pet. Eng. J.1969446347210.2118/2156-B A. I. Abdullin (6485_CR8) 2019; 40 K. S. Basniev (6485_CR9) 1993 H. Aziz (6485_CR13) 1982 M. Kh. Khairullin (6485_CR7) 2008; 11 A. O. DeSwaan (6485_CR5) 1976; 3 J. E. Warren (6485_CR6) 1963; 03 G. I. Barenblatt (6485_CR12) 1960; 5 T. D. van Golf-Racht (6485_CR10) 1982 J. P. Brill (6485_CR2) 1999 6485_CR1 V. N. Nikolaevsky (6485_CR11) 1996 H. Kazemi (6485_CR4) 1969; 4 V. N. Nikolaevsky (6485_CR3) 2006 E. R. Badertdinova (6485_CR14) 2019; 40 |
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| SubjectTerms | Algebra Algorithms Analysis Data analysis Formability Geometry Indicator diagrams Mathematical Logic and Foundations Mathematics Mathematics and Statistics Probability Theory and Stochastic Processes Reservoirs |
| Title | Numerical Well Test Analysis of Fractured Porous Reservoirs with Consideration of Stress-Sensitivity Effect |
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