Poroelastic solutions in transversely isotropic media for wellbore and cylinder
Poroelastic solutions in transversely isotropic media for wellbore and cylinder
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DOI：
10.1016/s0020-7683(98)00101-2
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发表时间：
1998-12-01
影响因子：
3.6
通讯作者：
Cui, L
中科院分区：
文献类型：
--
作者：
Abousleiman, Y;Cui, L
本文提出了各向异性多孔弹性介质中由边界应力扰动引起的倾斜钻孔和圆柱体的孔隙压力和应力场的闭式解。给出了柱坐标系下横观各向同性多孔弹性材料的控制方程。通过使钻孔发生器与材料对称轴重合，导出了受到三维远场各向异性应力场作用的倾斜钻孔的解；而气缸的解决方案是在实验室测试程序中遇到的各种负载条件下获得的。分析表明，除了时间对应力和孔隙压力变化的影响外，孔隙力学各向异性材料系数在计算面内应力场时也发挥着重要作用，而使用经典各向异性弹性理论则不然。 (C) 1998 Elsevier Science Ltd. 保留所有权利。
This paper presents closed-form solutions for the pore pressures and stress fields for the inclined borehole and the cylinder, induced by boundary stress perturbation in an-anisotropic poroelastic medium. The governing equations for the transversely isotropic poroelastic materials under the cylindrical coordinate system are presented. The solution for the inclined borehole, subjected to a three-dimensional far-field anisotropic stress field, is derived with the borehole generator coinciding with the material axis of symmetry; while the solutions for the cylinder are obtained under various loading conditions that are encountered in laboratory testing procedures. The analysis shows, in addition to the effect of time on stress and pore pressure variations, that poromechanical anisotropic material coefficients also play an important role in calculating the inplane stress fields, which is not the case using the classical anisotropic theory of elasticity. (C) 1998 Elsevier Science Ltd. All rights reserved.