2017年2月第36卷第1期
大庆石油地质与开发
Petroleum Geology and Oilfield Development in Daqing
DOI:10.3969/J.ISSN.1000-3754.2017.01.013
Feb.，2017 Vol. 36 No. 1
考虑弹塑性变形机制的储层天然裂缝闭合模型
王一帆黄东安？闫博＇宋劫？刘炜超＇王卫阳3
000）
3.中国石油塔里木油田分公司，新疆库尔勒841000）
摘要：针对裂缝闭合模型中存在的不足，提出一种新的弹塑性裂缝闭合模型。该模型基于经典接触力学理论，作出微凸体由弹性压缩首先转化为弹塑性压缩，最终转化为塑性压缩的过程是连续且光滑的假设。引入样板函数，对微凸体的完全弹性和完全望性的压缩状态进行衔接，并推导出微凸体压缩过程中的状态方程。在此基础上，采用微凸体概率分布理论，导出裂缝复合表面与光滑平面之间的接触面积、平均接触压力、法向应力和裂缝闭合量之间的函数关系式。将建立的模型同完全弹性和完全塑性模型进行对比，结果表明新模型能够良好地描述裂缝闭合时上下两表面接触面积和平均接触压力的变化规律，同时对于法向应力对裂缝闭合的影响更加符合直
觉和实验观察，能够合理地描述裂缝的闭合规律。关键词：天然裂缝；弹塑性；闭合模型；微凸体
中图分类号：TE344
文献标识码：A
文章编号：1000-3754（2017）01-0075-06
CLOSEDMODELOFTHERESERVOIRNATURALFRATURE
CONSIDERINGTHEELASTIC-PLASTICDEFORMINGMECHANISM WANG Yifan',HUANG Dong'an",YAN Bo", SONG Jie', LIU Weichao',WANC Weiyang
(1MOE Key Laboratory of Petroleum Engineering,China University of Petroleum,Bejing 102249, China; 2. No.11 Oil Production Plant of PetroChina Changqing Oifield Company, Qingyang 745000, China;
3. PetroChina Tarim Oilfield Company, Korla 841000, China)
Abstract: In view of the shortcomings of the crack closure model, a new type of elastic-plastic fracture closed model was proposed. The model is based on the theory of the classical contact mechanics and made by the micro-convex body by means of the transformations first from the elastic compression into the elastic-plastic one and finally into plastic one with the help of the assumption of the continuous and smooth compression processes, By introducing the model function, the states of the fully elastic and fully plastic compressions of the micro-convex body are con nected, and the state equation of the micro-convex body is introduced for the processes stated above, On the basis of these achievements, by using the theory of the probability distribution of the micro convex body, the function rela-tional expressions are derived among the contact area, average contact pressure, normal stress and crack closure be tween the composite surface and the smooth plane. The contrasts between the setup model and perfectly elastic and fully plastic models show that new model can well describe the changed laws of the contact area and average contact
收稿日期：2016-03-28
改回日期：2016-05-15
基金项目：国家自然科学基金项目“多尺度离散裂缝油藏有限元数值模拟研究”（51204204）。作者简介：王一帆，男，1992年生，在读硕士，从事非常规油气田开发方向的相关研究。
E-mail：284068991@qq.com
万方数据