自适应有限元-离散元算法、ELFEN软件及页岩体积压裂应用  

ADAPTIVE FINITE ELEMENT-DISCRETE ELEMENT ALGORITHM, SOFTWARE ELFEN AND APPLICATION IN STIMULATED RESERVOIR VOLUME OF SHALE

作　　者：王永亮 鞠杨[1,3] 陈佳亮[1,2] 杨永明 Li C F[4] WANG Yong-liang;JU Yang;CHEN Jia-liang;YANG Yong-ming;Li C F(State Key Laboratory of Coal Resources and Safe Mining,China University of Mining and Technology,Beijing 100083,China;School of Mechanical&Civil Engineering,China University of Mining and Technology,Beijing 100083,China;State Key Laboratory for Geomechanics and Deep Underground Engineering,China University of Mining and Technology,Xuzhou 221116,China;Zienkiewicz Centre for Computational Engineering,College of Engineering,Swansea University,Swansea SA2 8PP,UK)

机构地区：[1]中国矿业大学煤炭资源与安全开采国家重点实验室,北京100083 [2]中国矿业大学力学与建筑工程学院,北京100083 [3]中国矿业大学深部岩土力学与地下工程国家重点实验室,徐州221116 [4]Swansea大学Zienkiewicz工程计算中心,英国SwanseaSA28PP

出　　处：《工程力学》2018年第9期17-25,36,共10页Engineering Mechanics

基　　金：国家杰出青年科学基金项目(51125017);国家自然科学基金项目(41877275,51608301,51374213);国家自然科学创新研究群体科学基金项目(51421003);国家重点研究发展计划项目(2016YFC0600705);中国博士后科学基金项目(2018T110158,2016M601170)

摘　　要：该文介绍流体-固体-断裂耦合分析的自适应有限元(FE)-离散元(DE)算法,引进一款新近基于该方法研发的数值计算软件ELFEN,并将其应用于页岩分段体积压裂的三维数值计算和机理分析。该方法引入有限元应力恢复的超收敛拼片恢复(SPR)法,获得应力的超收敛SPR解,利用SPR解估计常规有限元解的误差,通过裂纹尖端局部区域的自适应网格重划分获得高精度应力解答并得以有效描述裂纹动态扩展,形成分析策略和求解方案。数值算例表明该算法和软件分析流体-固体-断裂耦合作用下单一、多水平井分段体积压裂的可靠性、有效性和实用性。The adaptive algorithm of finite element(FE)-discrete element(DE)for fluidic-mechanical-fracture coupling analysis was introduced in this study.The novel computational software ELFEN based on this method was introduced and applied in a three-dimensional mechanism analysis of a staged stimulated reservoir volume of shale.The superconvergent patch recovery(SPR)method was used to obtain the superconvergent FE stress solutions,by which the error of conventional FE stress solutions was estimated.The adaptive local remesh for domains of crack tips was expected to be characterized by efficient analysis strategy and application for more accurate stress solutions and reliable crack propagation path.Numerical examples were given to show the effectivity,reliability and practicability of the numerical algorithm and the software for staged stimulated reservoir volume of single-and multi-horizontal wells with fluidic-mechanical-fracture coupling.

关 键 词：自适应分析 有限元-离散元耦合 流体-固体-断裂耦合 体积压裂 ELFEN 

分 类 号：O34[理学—固体力学] TE37[理学—力学]