| 基于连续损伤的岩石渗流有限元分析 |
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| 引用本文： | 王永亮,柳占立,林三春,庄茁.基于连续损伤的岩石渗流有限元分析[J].工程力学,2016,33(11):29-37. |
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| 作者姓名： | 王永亮 柳占立 林三春 庄茁 |
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| 作者单位： | 清华大学航天航空学院, 应用力学教育部重点实验室, 北京 100084 |
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| 基金项目： | 国家自然科学基金项目（11372157，11302115）；教育部博士学科点专项科研基金项目（20120002110075）；全国优秀博士学位论文作者专项资金资助项目（201326）；中国博士后科学基金项目（2015M571030） |
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| 摘 要： | 该文基于连续损伤力学，建立了含损伤的岩石渗流模型，研究岩石损伤破坏并分析其渗流特性。该文采用Weibull分布函数来模拟岩石弹性模量和强度的非均质特性，利用Biot本构关系建立含孔隙结构的弹性变形方程，结合Drucker-Prager强度准则、统计强度理论和连续损伤理论推导出岩石连续损伤演化控制方程及其定解条件，进而采用有限元法对其求解。该文给出的数值算例结果表明所提出的含损伤渗流模型适用于研究岩石的渗流特性，分析结果与实验数据吻合较好，且该求解方法可以对岩石体积压裂、岩层弱面进行可靠、有效的数值分析。
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| 关 键 词： | 连续损伤 Weibull分布 岩石 渗流 有限元 |
| 收稿时间： | 2015-03-26 |
FINITE ELEMENT ANALYSIS OF SEEPAGE IN ROCK BASED ON CONTINUUM DAMAGE EVOLUTION |
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| Affiliation: | Applied Mechanics Laboratory, School of Aerospace Engineering, Tsinghua University, Beijing 100084, China |
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| Abstract: | Based on continuum damage mechanics, a seepage model for damaged rock reservoirs is established in this paper, which can be used to analyze the damage failure process and seepage characteristics of rock reservoirs. Weibull distribution is used effectively to simulate the heterogeneity characteristics of rock. By statistical strength theory, the Drucker-Prager strength criterion and continuous damage theory, the governing equations and definite conditions of continuous damage evolution via the Biot constitutive relation for rock reservoirs are derived, which are then solved by the finite element method (FEM) to obtain reliable results. Numerical examples are given to show that the proposed method is consistent with the experimental results and to demonstrate the effectiveness and reliability to analyze seepage characteristics, volume fracturing and the mechanical properties of laminated rock mass. |
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