考虑应力敏感的稠油热采试井模型研究  

Study on Heavy Oil Thermal Recovery Well-testing Model Considering Stress Sensitivity

作　　者：刘文涛[1] 张德富[1] 程宏杰[1] 王晓光[1] 冯国庆[2] 赵玉龙[2] LIU Wentao;ZHANG Defu;CHENG Hongjie;WANG Xiaoguang;FENG Guoqing;ZHAO Yulong(Research Institute of Exploration and Development,Xinjiang Oilfield Company, Karamay 834000, Xinjiang,China;School of Oil ＆ Gas Engineering, Southwest Petroleum University,Chengdu 610500, Sichuan, China)

机构地区：[1]新疆油田公司勘探开发研究院,新疆克拉玛依834000 [2]西南石油大学石油与天然气工程学院,四川成都610500

出　　处：《西安石油大学学报（自然科学版）》2018年第3期63-68,共6页Journal of Xi’an Shiyou University（Natural Science Edition）

基　　金：国家科技重大专项"缝洞型油藏流体识别及剩余油分布物理模拟研究"(2016ZX05053-002);国家科技重大专项"低渗-超低渗油藏提高储量动用关键工艺技术"(2017ZX05013-005)

摘　　要：基于稠油热采的物理过程,利用渗流力学基本原理,建立考虑应力敏感的稠油热采试井解释数学模型,通过Laplace变换和摄动变换法求解得到模型在拉氏空间的解析解,再利用Stehfest数值反演方法得到实空间的数值解,绘制无因次井底压力及压力导数与无因次时间的特征曲线,并进行影响因素分析。研究表明:该试井模型曲线可划分为5个流动阶段;考虑应力敏感影响时,内区与外区径向流阶段压力导数曲线都表现出不同程度的"上翘",外区径向流阶段压力导数曲线高于斜率为(1-n)/(3-n)的直线,应力敏感系数越大,偏离幅度越大;幂律指数越小,外区径向流阶段压力导数曲线"上翘"幅度越大。利用该模型可以分析储层的应力敏感特征,指导存在应力敏感效应的稠油热采试井资料的解释与研究。Based on the physical process of heavy oil thermal recovery, the well test interpretation mathematical model of heavy oil thermal recovery well was established under considering stress sensitivity using the basic principle of percolation mechanics. The analytical solution of the model in Lagrangian space was obtained through Laplace transformation and perturbation transformation, then its numerical solution of real space was obtained using Stehfest numerical inversion, the dimensionless bottom-hole pressure and pressure derivative curves of the model were drawn,and the influence factors of the curves were analyzed. It is shown that, the dimensionless bottomhole pressure and pressure derivative curves of the model can be divided into five flow stages according to the characteristics of the pressure derivative curve. When stress sensitivity is considered, the pressure derivative curves will show ＂upwarping＂ in different degrees in the radial flow stage of non-Newtonian power law fluid area and Newtonian power law fluid area ; in the radial flow stage of non-Newtonian fluid area,the pressure derivative curve is higher than the straight line with a slope of （1-n）/（3-n） ,the greater the stress sensitivity coefficient,the greater the deviation,and the less the power law index, the greater the ＂ upwarping＂ degree of the pressure derivative curve. The model can be used for analyzing the stress sensitivity characteristics of reservoirs and guiding the interpretation of the well test data of heavy oil thermal recovery wells considering stress sensitivity.

关 键 词：稠油热采 试井分析 幂律指数 应力敏感 摄动变换 

分 类 号：TE331.1[石油与天然气工程—油气田开发工程]