油气流–固耦合渗流研究进展
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摘要
介绍了多孔介质流–固耦合渗流研究的重要意义,对多孔介质流–固耦合渗流研究进展加以综述和讨论,提出了进一步深入研究的方向,并着重讨论了近十年来油气流–固耦合多相渗流及其应用研究和各种耦合方法,为其他渗流工作提供一定的参考。
The important significance for the research on fluid-solid coupling seepage in porous media is introduced.Developments of the fluid-solid flow in the porous media are reviewed;and the further research directions are also presented.Particularly,studies on the fluid-solid coupling multiphase flow and its application and studies on various coupling methods in the last ten years are discussed.The fluid-solid coupling flow is concerned chiefly with flow of oil and gas through porous media.It is considered that the establishment and development of interaction cupling for multiphase fluids and multifield models and its numerical method have great meanings of the fluid-solid coupling mechanics.
The important significance for the research on fluid-solid coupling seepage in porous media is introduced.Developments of the fluid-solid flow in the porous media are reviewed;and the further research directions are also presented.Particularly,studies on the fluid-solid coupling multiphase flow and its application and studies on various coupling methods in the last ten years are discussed.The fluid-solid coupling flow is concerned chiefly with flow of oil and gas through porous media.It is considered that the establishment and development of interaction cupling for multiphase fluids and multifield models and its numerical method have great meanings of the fluid-solid coupling mechanics.
引文
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[2]Biot M A.General theory of three-dimensional consolidation[J].J.Appl.Phys.,1941,12(2):155–164.
[3]Biot M A.Theory of elasticity and consolidation for a porous anisotropic solid[J].J.Appl.Phys.,1955,26(2):182–185.
[4]Biot M.A general solution of the equation of elasticity and consolidation for a porous material[J].J.Appl.Phys.,Trans.,ASME,1956,78:91–96.
[5]Skempton A W.The pore pressure coefficients A and B[J].Geotechnique,1954,4(4):143–147.
[6]Verrijt A.Elastic storage of aquifers[A].In:Flow Through Porous Media[C].New York:Academic Press,1969.331–376.
[7]Nur A,Byrlee J D.An exact effective stress law for elastic deformation of rock with fluids[J].J.Geophys.Res.,1971,76(26):6 414–6 419.
[8]Rice J R,Cleary M P.Some basic stress diffusion solution for fluid-saturated elastic solid porous media with compressible constituents[J].Rev.of Geophys.and Space Physics,1976,14(2):227–241.
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[10]Zienkiewicz O C,Shomi T.Dynamic behavior of saturated porous mediat:he generalized Biot formulation and its numerical solution[J].Int.J.Analy.Numer.Meth.Geomech.,1984,8(1):71–96.
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[13]Kelly P D.A reacting continuum[J].Int.J.Engng.Sci.,1964,2(1):129–153.
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[15]Morland L W.A simple constitutive theory for a fluid-saturated porous solid[J].J.Geophy.Res.,1972,77(5):890–900.
[16]Bowen R M.Compressible porous media models by use of the theory of mixtures[J].Int.J.Engng.Sci.,1982,20(6):697–735.
[17]Katsube N.The constitutive theory for fluid-filled porous materials[J].J.Appl.Mech.,1985,52(1):185–189.
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[20]Ehlers W,Kubik J.On finite dynamic equations for fluid saturated porous media[J].Acta Mech.,1994,105:101–117.
[21]Paslay P R,Cheatham J B.Rock stresses induced by flow of fluids into boreholes[J].SPEJ,1963,3(1):85–93.
[22]Rudnicki J W.Fluid mass sources and point sources in linear elastic diffusive solids[J].Mechanics of Materials,1986,5:383–393.
[23]Wang Y,Dusseaut M B.Borehole yield and hydraulic fracture initiation in poorly consolidated rock strata—part II permeable media[J].Int.J.Rock Mech.Min.Sci.and Geomech.Abstr.,1991,28(4):247–260.
[24]Detournay E,Cheng A H D.Poroelastic solution of a plane strain point displacement discontinuity[J].J.Appl.Mech.,1987,54(4):783–787.
[25]Li X,Zienkiewicz O C,Xie M.A numerical model for immiscible two-phase fluid flow in a porous medium and its time domain solution[J].Int.J.Num.Meth.Eng.,1990,30(6):1 195–1 212.
[26]Li X,Zienkiewicz O C.Multiphase flow in deforming porous media and finite element solutions[J].Computers and Structures,1992,45(2):211–227.
[27]Li X.Finite-element analysis for immiscible two-phase fluid flow on deforming porous media and an unconditionally stable staggered solution[J].Commun.Appl.Numer.Meth.,1990,6(1):125–135.
[28]Chen H Y,Teuful L W,Lee R L.Coupled fluid flow and geomechanics in reservoir study:theory and governing equations[R].SPE 30752,1995.
[29]Lewis R W,Sukirman Y.Finite element modeling of three-phase flow in deforming saturated oil reservoirs[J].Intern.Numer.Analy.Meth.Geomech.,1993,17:577–598.
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[35]Ran Qiquan.Establishment of mathematical model for multiphase multicomponent flow coupled with reservoir deformation[J].China offshore Oil and Gas(Geology),1996,10(3):172–177.
[36]Settari A,Mourits F M.A coupled reservoir and geomechanical simulation system[J].SPE Journal,1998,3(2):219–226.
[37]Settari A,Walters D A.Advances in coupled geomechanical and reservoir modeling with applications to reservoir compaction[J].SPE Journal,2001,7(4):334–342.
[38]Minkoff S,Stone C,Bruyant S,et al.Coupled fluid flow and geomechanical deformation modeling[J].Journal of Petroleum Science and Engineering,2003,38(1/2):37–56.
[39]Yale D P.Coupled geomechanics-fluid modeling:effects of plasticity and permeability alteration[A].In:SPE/ISRM78202,SPE/ISRM Rock Mechanics Conference[C].Irving,Texas:[s.n.],2002..
[40]Chin L Y,Raghavan R,Thomas L K.Fully coupled geomechanics and fluid-flow analysis of wells with stress-dependent permeability[J].SPE58968,2000,5(1):32–45.
[41]Tran D,Settari A,Nghiem L.New iterative coupling between a reservoir simulator and a geomechanics module[A].In:SPE78192,SPE/ISRM Rock Mechanics Conference[C].Irving,Texas:[s.n.],2002.362–369.
[42]Thomas L K,Chin LY,Pierson R G,et al.Coupled geomechanics and reservoir simulation[A].In:SPE77723,SPE Annual Technical Conference and exhibition[C].San Antonio,Texas,USA:[s.n.],2002.
[43]Terry W,Xian C G,Fang Z,et al.Coupled geomechanical simulation for stress dependent reservoirs[A].In:SPE79697,SPE Reservoir Simulation Symposium[C].Houston,Texas,USA:[s.n.],2003.1–6.
[44]Samier P,Onaisi A,Fontaine G,et al.Coupled analysis of geomechanics and fluid flow in reservoir simulation[A].In:SPE79698,SPE Reservoir[C].[s.l.]:[s.n.],2002.485–497.
[45]Gutierrez M,Hansteen H.Fully-coupled analysis of reservoir compaction and subsidence[A].In:SPE28900,EUROPEC′94[C].London:[s.n.],1994.83–94.
[46]Chin L Y,Raghavan R,Thomas L K.Fully coupled analysis of well responses in stress-sensitive reservoirs[A].In:SPE48967,1998 SPE Annual Technical Conference and Exhibition[C].Orleans,Louisian:[s.n.],1998.42–66.
[47]Charlier R,Fourmaintraux D,Samier P,et al.Numerical simulation of the coupled behavior of faults during the deletion of a high-pressure/high-temperature reservoir[A].In:SPE/ISRM78199,SPE/ISRM Rock Mechanics Conference[C].Irving,Texas,USA:[s.n.],2002.102–126.
[48]Chin L Y,Thomas L K.Fully coupled analysis of improved oil recovery by reservoir compaction[A].In:SPE56753,1999 SPE Annual Technical Conference and Exhibition[C].Houston,Texas,USA:[s.n.],1999.485–497.
[49]Coombe D,Tremblay B,Tran D.Coupled hydro-geomechanical modeling of cold production process[A].In:SPE69719,SPE International Thermal Operations and Heavy Oil Symposium[C].Porlamar,Margarita Island,Venezuela:[s.n.],2001.176–187.
[50]薛世峰.非混溶饱和两相渗流与变形孔隙介质耦合作用的理论研究及其在石油开发中的应用[博士学位论文][D].北京:中国地震局地质研究所,2000.(Xue Shifeng.Theoretical study on immiscible saturated two-phase flow in nonlinear deformable porous media and application to petroleum engineering[Ph.D.Thesis][D].Beijing:Institute of Geology,China Earthquake Administration,2000.(in Chinese))
[51]刘建军,刘先贵,胡雅乃,等.低渗透储层流固耦合渗流规律的研究[J].岩石力学与工程学报,2002,21(1):81–92.(Liu Jianjun,Liu Xiangui,Hu Yanai,et al.Study on fluid-solid coupling flow in low permeable oil reservoir[J].Chinese Journal of Rock Mechanics and Engineering,2002,21(1):81–92.(in Chinese))
[52]范学平,徐向荣,张士诚,等.用流固耦合方法研究油藏压裂后应力应变和孔隙特性[J].岩土力学,2001,22(1):47–50.(Fan Xueping,Xu Xiangrong,Zhang Shicheng,et al.Analysis of changes of stress,strain,porosity and permeability in multiphase reservoir with fluid-solid coupled and geomechanical mathematical simulation[J].Rock and Soil Mechanics,2001,22(1):47–50.(in Chinese)).
[53]Duguid J O,Lee P C Y.Flow in fractured porous media[J].Water Resources Research,1977,13(2):558–566.
[54]Aifantis E C.On the problem of diffusion in solids[J].Acta Mech.,1980,37:265–296.
[55]Barenblatt G I,Zheltov I P.Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks[J].Prikl.Mat.Mekh.,1960,24(5):852–864.
[56]Khaled M Y,Beskos D E,Aifantis E C.On the theory of consolidation with double porosity III:a finite element formulation[J].Int.J.Num.Ana.Meth.Geomech.,1984,8:101–123.
[57]Bekos D E,Aifantis E C.On the theory of consolidation with double porosity-II[J].Int.J.Eng.Sci.,1986,24:1 697–1 716.
[58]Valliappan S,Khalili-Naghadeh N.Flow through fissured porous media with deformable matrix[J].Int.J.Num.Meth.Eng.,1990,29:1 079–1 094.
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