基于MATLAB的水力裂缝扩展数值模拟技术  

MATLAB hydraulic fracture propagation simulation technique

作　　者：王世虎[1,2] 张志昂[2] 王磊[1] 黄侠[1] 

机构地区：[1]中国石化股份胜利油田分公司采油工艺研究院,山东东营257000 [2]中国石油大学(华东)石油工程学院,山东东营257061

出　　处：《油气地质与采收率》2012年第2期98-101,118,共4页Petroleum Geology and Recovery Efficiency

基　　金：国家科技重大专项“胜利油田薄互层低渗透油田开发示范工程”(2011ZX05051)

摘　　要：水力裂缝扩展数值模拟是水力压裂设计的重要内容,可以用来评价压裂效果,降低施工风险,为节省计算时间目前主要采用二维模型或者拟三维模型。现今比较成熟的GOHFER商业软件,以差分方程代替微分方程,误差逐层逸散不断扩大,差分格式稳定性难以保证,为此,采用MATLAB编程语言编制模拟程序,实现有限元数值分析对水力裂缝扩展真三维模型的求解,其适应性强,边界条件自动满足,且以高阶多项式逼近真实值,误差较小,精度更高。同时,采用复化辛普森数值积分代替MATLAB编程语言中的符号积分,节省了61.9%～73.5%的运算时间。Hydraulic fracture simulation technique plays an important role in fracture design and evaluation.It has been developed for many years,however,it is mainly paying more attention to time efficiency and so on,petroleum engineers usually choose 2D or p-3D model for simulation.As we all know,with low accuracy step by step,finite difference method can not satisfy the requirement.What we want to do in this paper is just trying to establish a real 3D hydraulic fracture simulation technique in MATLAB with finite element method.And,then we compare it with the results of the mature commercial software such as GOHFER to improve the accuracy of the simulation and give more reference.

关 键 词：水力压裂 有限元 真三维模型 裂缝扩展 数值模拟 

分 类 号：TE357.11[石油与天然气工程—油气田开发工程]