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首页> 外文会议>Second Biot Conference on Poromechanics Aug 26-28, 2002 Grenoble, France >Stochastic computational modeling of heterogeneous poroelastic media
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Stochastic computational modeling of heterogeneous poroelastic media

机译：非均质多孔弹性介质的随机计算模型

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摘要

The compaction of highly heterogeneous poroelastic media with geology characterized by long-range correlations displaying fractal character is investigated within the framework of stochastic computational modeling. The impact of reservoir heterogeneity upon the magnitude of the stresses induced in the solid matrix due to reservoir consolidation and surface subsidence is analyzed by performing an ensemble average over realizations of a log-normally distributed, stationary random hydraulic conductivity field. By considering this coefficient characterized by a coefficient of variation which governs the magnitude of heterogeneity and a correlation function which decays slowly with a power law we show that the combination of these two effects lead to a considerable increase in the the magnitude of effective stresses in the rock matrix and to an earlier appearance of the plastification zone. A classical land subsidence problem caused by fluid withdrawal of a weak reservoir is considered. Numerical results illustrate the effects of the spatial variability and fractal representation in the permeability distribution upon the geomechanical predictions of the evolution of the Mohr-Coulomb function.
机译：在随机计算模型的框架内，研究了高度异质的多孔弹性介质的压实，其地质特征是具有显示分形特征的远距离相关性。通过对对数正态分布的平稳随机水力传导率场实现整体平均，分析了储层非均质性对由于储层固结和地表沉陷而在固体基质中引起的应力大小的影响。通过考虑该系数，该系数的特征在于控制异质性大小的变异系数和随幂定律缓慢衰减的相关函数，我们表明，这两种效应的结合导致了有效应力大小的显着增加。岩石基质和较早出现的塑化区。考虑了由弱水库抽水引起的经典地面沉降问题。数值结果说明了渗透率分布中的空间变异性和分形表示形式对Mohr-Coulomb函数演化的地质力学预测的影响。

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