王永亮, 庄茁, 柳占立, 杨恒林. 横观各向同性岩石力学-化学-损伤耦合有限元分析[J]. 工程力学, 2017, 34(9): 102-109. DOI: 10.6052/j.issn.1000-4750.2016.04.0287
引用本文: 王永亮, 庄茁, 柳占立, 杨恒林. 横观各向同性岩石力学-化学-损伤耦合有限元分析[J]. 工程力学, 2017, 34(9): 102-109. DOI: 10.6052/j.issn.1000-4750.2016.04.0287
WANG Yong-liang, ZHUANG Zhuo, LIU Zhan-li, YANG Heng-lin. FINITE ELEMENT ANALYSIS OF TRANSVERSELY ISOTROPIC ROCK WITH MECHANICAL-CHEMICAL-DAMAGE COUPLING[J]. Engineering Mechanics, 2017, 34(9): 102-109. DOI: 10.6052/j.issn.1000-4750.2016.04.0287
Citation: WANG Yong-liang, ZHUANG Zhuo, LIU Zhan-li, YANG Heng-lin. FINITE ELEMENT ANALYSIS OF TRANSVERSELY ISOTROPIC ROCK WITH MECHANICAL-CHEMICAL-DAMAGE COUPLING[J]. Engineering Mechanics, 2017, 34(9): 102-109. DOI: 10.6052/j.issn.1000-4750.2016.04.0287

横观各向同性岩石力学-化学-损伤耦合有限元分析

FINITE ELEMENT ANALYSIS OF TRANSVERSELY ISOTROPIC ROCK WITH MECHANICAL-CHEMICAL-DAMAGE COUPLING

  • 摘要: 该文基于层理性岩石的水化作用和连续损伤特性,建立力学-化学-损伤耦合的有限元(FEM)求解方法,开展含钻井孔岩石的井壁应力和围岩损伤演化分析。该文发展横观各向同性Biot本构关系,采用Weibull分布函数表征岩石的非均质性;考虑水化作用引起的损伤,结合当前应力状态的应力损伤得到损伤张量,对弹性模量和渗透率进行损伤分析,实现层理性岩石在水化和荷载作用下的连续损伤演化,形成一套渗流-应力-化学-损伤(HMCD)耦合分析方法。该文给出数值算例,将含损伤横观各向同性模型用于研究层理性岩石的水化特性,表明岩石的非均匀性和水化作用对井壁应力解答具有重要影响,该有限元求解方法可对岩石水化、损伤进行可靠、有效的数值分析。

     

    Abstract: Based on the hydration and continuum damage characteristics of laminated rock, the finite element method (FEM) considering mechanical-chemical-damage coupling is studied, which can be used to analyze the stresses on wellbore and the damage evolution for rock reservoirs. A transverse-isotropic-Biot constitutive relationship is developed, in which Weibull distribution is used effectively to simulate petrophysical heterogeneity characteristics. Regarding the hydration behavior as damage and combining stress damage in a current stress state, an innovative damage tensor is derived for the damage analysis of elastic modulus and permeability. Then the finite element analysis (FEA) technology considering hydraulic-mechanical-chemical-damage (HMCD) coupling is proposed for the damage evolution by hydration and loading. Numerical examples are presented to show the effectivity and reliability of the proposed technology for the hydration characteristic analysis of laminated rock, furthermore to demonstrate the heterogeneous and hydration effect for the stress solution on wellbore.

     

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