各向异性弹性孔隙介质中的热-流-变形耦合模型
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摘要
研究微小孔隙介质中应变导致渗透率各向异性的问题.采用有限单元法综合分析处理储层变形-渗流-热传导耦合模型与应变导致渗透率变化模型,并用该方法分析弹性多孔介质的二维非等温变化单相渗流的耦合问题.对比结果表明,应变导致的渗透率变化模型能有效反映蒸汽注入引起的岩层各向膨胀,与热采过程中油藏的实际情况更吻合.
A problem of strain-induced anisotropy of permeability in media with minute porosity was investigated.A coupled model of deformation-flow-heat transfer of storing stratum and a model of strain-induced permeability variation were comprehensively analyzed and processed with finite element method and it was also used to analyze two-dimensional non-isothermal single-phase percolation in elastic porous media.Comparative result showed that the strain-induced permeability model could effectively reflect multidirectional expansion of strata induced by steam injection,and it was much more consistent with the actual situation of oil reservoir.
A problem of strain-induced anisotropy of permeability in media with minute porosity was investigated.A coupled model of deformation-flow-heat transfer of storing stratum and a model of strain-induced permeability variation were comprehensively analyzed and processed with finite element method and it was also used to analyze two-dimensional non-isothermal single-phase percolation in elastic porous media.Comparative result showed that the strain-induced permeability model could effectively reflect multidirectional expansion of strata induced by steam injection,and it was much more consistent with the actual situation of oil reservoir.
引文
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[6]BERA P,ESWARA V.Numerical study of heat and masstransfer in an anisotropic porous enclosure due to constantheating and cooling[J].Numerical Heat Transfer:Part A,1998,34:887-905.
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[8]MASTERS I,PAO W K S.Coupling temperature to a double-porosity model of deformable porous media[J].Int J NumerMeth Engng,2000,49:421-438.
[9]薛世峰,宋惠珍.非混溶饱和两相渗流与孔隙介质耦合作用的理论研究Ⅱ方程解耦与有限元公式[J].地震地质,1999,21(3):253-260.
[10]AZIZ K,SETTARI A.Petroleum reservoir simulation[M].London:Elservier Applied Science,1979.
[2]WANG Y,XUE S.Coupled reservoir geomechanics model withsand erosion for sand rate and enhanced production prediction[R].Louisiana:Society of Petroleum Engineers Inc,2002.
[3]CARMAN P C.Fluid flow through a granular bed[J].Trans-action of the Institution of Chemical Engineer,1937,15:150-156.
[4]VAZIRI H H.Mechanics of fluid and sand production from oilsand reservoirs[R].Calgary:The Petroleum Society of CIM,1986.
[5]WONG R C K.A model for strain-induced permeability anisot-ropy in deformable granular media[J].Can Geotech J,2003,40:95-106.
[6]BERA P,ESWARA V.Numerical study of heat and masstransfer in an anisotropic porous enclosure due to constantheating and cooling[J].Numerical Heat Transfer:Part A,1998,34:887-905.
[7]ZHANG X L,NGUYEN T H.Effects of anisotropy in permea-bility on the two-phase flow and heat transfer in a porous cavi-ty[J].Heat and Mass Transfer,1997,32:167-174.
[8]MASTERS I,PAO W K S.Coupling temperature to a double-porosity model of deformable porous media[J].Int J NumerMeth Engng,2000,49:421-438.
[9]薛世峰,宋惠珍.非混溶饱和两相渗流与孔隙介质耦合作用的理论研究Ⅱ方程解耦与有限元公式[J].地震地质,1999,21(3):253-260.
[10]AZIZ K,SETTARI A.Petroleum reservoir simulation[M].London:Elservier Applied Science,1979.
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