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双重孔隙介质非线性流固耦合渗流 总被引:4,自引:0,他引:4
本文给出了考虑双孔双涌介质生变形的流固耦合渗流模型。不仅考虑了固结对渗流的影响,同时也考虎了固体变形对渗流参数(孔隙度和渗透率)的影响。这样。渗流就成了双孔双渗介质中非线性流固耦合渗流。在此基础上,本文还推导了双重孔隙介质非线性流固耦合渗流计算。给出了算例并作了对比。结果表明,固体变形引起的介质参数变化对流体渗流早中期过程有重要的影响,对渗流后期影响并不大。这对于石油开采有重要的参考价值。 相似文献
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Totally fissured media in which the individual cells are isolated by the fissure system are effectively described by double porosity models with microstructure. Such models contain the geometry of the individual cells in the medium and the flux across their interface with the fissure system which surrounds them. We extend these results to a dual-permeability model which accounts for the secondary flux arising from direct cell-to-cell diffusion within the solid matrix. Homogenization techniques are used to construct a new macroscopic model for the flow of a single phase compressible fluid through a partially fissured medium from an exact but highly singular microscopic model, and it is shown that this macroscopic model is mathematically well posed. Preliminary numerical experiments illustrate differences in the behaviour of solutions to the partially fissured from that of the totally fissured case. 相似文献
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裂缝性油藏流固耦合渗流 总被引:12,自引:0,他引:12
本文给出了考虑介质变形的双重孔隙介质流固耦合渗流模型,并考虑渗流参数随有效应力而变化的非线性双重孔隙介质流固耦合渗流,在此基础上,本文还推导了双重孔隙介质非线性系数非线性等流固耦合流流计算,并给出了算例。 相似文献
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The reflection and transmission of an incident plane wave at an interface between water and a fluid-saturated double porosity
solid are investigated. The properties of the three compressional waves and one shear wave in double porosity media are discussed
in detail. The effect of the viscosity, permeability, and porosity on the phase velocity and attenuation of four bulk waves
is presented. Comparison between the double porosity theory and the Biot theory reveals that there exists obvious difference
in the phase velocity, attenuation and the reflection and transmission coefficients. Two cases of boundary conditions, i.e.,
the sealed-pore and the open-pore boundaries, are introduced in the numerical calculation. At last, the effect of the fracture
permeability and porosity on the reflection and transmission coefficients considered. It is revealed that the amplitudes of
the reflected and transmitted waves strongly depend the boundary condition, fracture permeability, and porosity. 相似文献
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Reflection and Transmission of Elastic Waves from the Interface of a Fluid-saturated Porous Solid and a Double Porosity Solid 总被引:1,自引:0,他引:1
The reflection and transmission characteristics of an incident plane P1 wave from the interface of a fluid-saturated single porous solid and a fluid-saturated double porosity solid are investigated.
The fluid-saturated porous solid is modeled with the classic Biot’s theory and the double porosity medium is described by
an extended Biot’s theory. In a double-porosity model with dual-permeability there exist three compressional waves and a shear
wave. The effects of the incident angle and frequency on amplitude ratios of the reflected and transmitted waves to the incident
wave are discussed. Two boundary conditions are discussed in detail: (a) Open-pore boundary and (b) Sealed-pore boundary.
Numerical results reveal that the characteristics of the reflection and transmission coefficients to the incident angle and
the frequency are quite different for the two cases of boundary conditions. Properties of the bulk waves existing in the fluid-saturated
porous solid and the double porosity medium are also studied. 相似文献
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岩体系统渗流场与应力场耦合的广义双重介质模型的应用研究 总被引:3,自引:0,他引:3
本文通过实验资料分析, 提出了裂隙岩体应力与渗流之间的分形几何关系式。以研究区岩体系统结构为基础, 提出了岩体系统应力场与渗流场耦合的广义双重介质模型, 并将该模型应用于某水利水电工程的渗流与控制中, 对坝区岩体进行了应力场和渗流场的耦合分析, 取得了比较满意的结果。 相似文献
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Effective stress laws for multi-porosity media 总被引:2,自引:0,他引:2
Theconceptofeffectivestressisveryusefultodescribetheeffectofporefluidpressureonthemechanicalresponseofporousmedia.Terzaghifoundthefollowingfacts:1)Iftheexternalstaticpressuresσ1=σ2=σ3andtheporepressureincreasethesameamountwiththepressures,thevolumeof… 相似文献
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川藏公路地质环境与整治改建方案的思考 总被引:3,自引:1,他引:3
川藏公路由于地质环境复杂、建设标准低、后遗病害多,抗灾能力差,泥石流、滑坡、山崩、雪害、水毁等自然灾害频繁发生,公路阻车断道严重。国家投入巨资进行整治改建,并取得了明显的效果,但由于自然环境特殊、影响因素复杂,许多特大型、大型工程地质病害问题还没有可行、可靠的解决方案。本文通过分析川藏公路沿线的地质环境和灾害特点,总结历年整治改建和经验的教训,提出川藏公路建设的途径、可能达到的目标和应采用的原则。 相似文献
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IntroductionTheflowtheoryanditsapplicationoffluidsflowinafractalreservoirhavecontinuallygonedeepintostudysinceChangandYortsos[1]builttheflowmodeloffluidthroughafractalreservoir.TONGDeng_ke[2 ]presentedtheexactsolutionanditspressurecharacteristicsfortheva… 相似文献
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A linear isothermal dynamic model for a porous medium saturated by a Newtonian fluid is developed in the paper. In contrast
to the mixture theory, the assumption of phase separation is avoided by introducing a single constitutive energy function
for the porous medium. An important advantage of the proposed model is it can account for the couplings between the solid
skeleton and the pore fluid. The mass and momentum balance equations are obtained according to the generalized mixture theory.
Constitutive relations for the stress, the pore pressure are derived from the total free energy accounting for inter-phase
interaction. In order to describe the momentum interaction between the fluid and the solid, a frequency independent Biot-type
drag force model is introduced. A temporal variable porosity model with relaxation accounting for additional attenuation is
introduced for the first time. The details of parameter estimation are discussed in the paper. It is demonstrated that all
the material parameters in our model can be estimated from directly measurable phenomenological parameters. In terms of the
equations of motion in the frequency domain, the wave velocities and the attenuations for the two P waves and one S wave are
calculated. The influences of the porosity relaxation coefficient on the velocities and attenuation coefficients of the three
waves of the porous medium are discussed in a numerical example. 相似文献
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为了深入研究液饱和多孔介质中应力波的传播,提出了三维两相细观计算模型.基于此模型。应用Galerkin余量法并计及流-固耦合界面的耦合效应,利用直接耦合的技术,开发了三维流-固混合显式动力有限元计算程序.在此基础上对冲击载荷作用下液饱和多孔介质中三维应力波的传播现象进行了数值模拟,并详细讨论了孔隙率,孔隙形状等因素对应力波传播主导波形的影响. 相似文献
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Within the framework of the incompressible porous media model, the propagation properties of acceleration waves in liquid-filled porous solids is discussed. The incompressibility of the two constituents in the model forces the amplitudes of the longitudinal waves in the skeleton and in the liquid to satisfy a certain relation. The two propagation speeds are presented by examination for the existence of acceleration waves and only longitudinal and transverse waves are realizable in the incompressible two-phase porous materials. 相似文献
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The paper discusses local porosity theory and its relation with other geometric characterization methods for porous media such as correlation functions and contact distributions. Special emphasis is placed on the charcterization of geometric observables through Hadwigers theorem in stochastic geometry. The four basic Minkowski functionals are introduced into local porosity theory, and for the first time a relationship is established between the Euler characteristic and the local percolation probabilities. Local porosity distributions and local percolation probabilities provide a scale dependent characterization of the microstructure of porous media that can be used in an effective medium approach to predict transport. 相似文献
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T. J. T. Spanos 《Transport in Porous Media》2009,79(1):135-148
It has been known since the time of Biot–Gassman theory (Biot, J Acoust Soc Am 28:168–178, 1956, Gassmann, Naturf Ges Zurich
96:1–24, 1951) that additional seismic waves are predicted by a multicomponent theory. It is shown in this article that if
the second or third phase is also an elastic medium then multiple p and s waves are predicted. Futhermore, since viscous dissipation
no longer appears as an attenuation mechanism and the media are perfectly elastic, these waves propagate without attenuation.
As well, these additional elastic waves contain information about the coupling of the elastic solids at the pore scale. Attempts
to model such a medium as a single elastic solid causes this additional information to be misinterpreted. In the limit as
the shear modulus of one of the solids tends to zero, it is shown that the equations of motion become identical to the equations
of motion for a fluid filled porous medium when the viscosity of the fluid becomes zero. In this limit, an additional dilatational
wave is predicted, which moves the fluid though the porous matrix much similar to a heart pumping blood through a body. This
allows for a connection with studies which have been done on fluid-filled porous media (Spanos, 2002). 相似文献
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刘慈群 《应用数学和力学(英文版)》1991,12(3):265-270
This paper presents the analytical solutions in Laplace domain for two-dimensionalnonsteady flow of slightly compressible liquid in porous media with double porosity by usingthe methods of integral transforms and variables separation.The effects of the ratio ofstorativities ω,interporosity flow parameter λ,on the pressure behaviors for a verticallyfractured well with infinite conductivity are investigated by using the method of numericalinversion.The new log-log diagnosis graph of the pressures is given and analysed. 相似文献
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Takahiro Ohkubo 《Transport in Porous Media》2008,72(3):339-350
The diffusion of fluids in porous media, composed of regularly aligned plate-like obstacles, was studied by Monte Carlo simulation.
The diffusion coefficients and all diagonal components of the diffusion tensor were estimated for these media. The calculated
tortuosities were modeled as a function of porosity by using the Koponen’s equation related to percolation threshold. These
results indicated that a media with a homogeneous porosity has a heterogeneous tortuosity, is affected by the alignments of
the plate-like obstacles. Furthermore, the calculation results were compared with the experimental results for fixed perpendicular
plates of Comiti and Renaud as a function of porosity. The results for tortuosity compared well for porosity larger than 0.86. 相似文献