稠油热采三重介质三渗模型及压力动态分析  

Triple permeability model in triple media and pressure dynamic analysis of thermal recovery of heavy oil

作　　者：陈帅[1] 孙可明 CHEN Shuai;SUN Keming(School of Mechanics and Engineering,Liaoning Technical University,123000 Fuxin,China;School of Science,Qingdao University of Technology,266520 Qingdao,China)

机构地区：[1]辽宁工程技术大学力学与工程学院,阜新123000 [2]青岛理工大学理学院,青岛266520

出　　处：《应用力学学报》2022年第5期981-988,共8页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金面上项目(No.51574137);科技部油气专项(No.2017ZX05037-001)。

摘　　要：为了研究碳酸盐岩储层稠油热采的井底压力变化特征,考虑温度对油度的影响和地层的应力敏感性,建立了三重介质三渗数学模型。数学模型为非线性变系数偏微分方程组,采用全隐式有限差分格式离散,用Newton-Raphson迭代法求解非线性差分方程组。差分方程组的Jacobi矩阵为三对角矩阵。利用三对角矩阵的性质求逆阵提高了迭代速度。根据计算结果绘制了试井样板曲线,进行了参数敏感性分析。研究结果表明:压力响应分为6个阶段;不同储层中稠油的黏度依赖于温度变化的敏感性不同。具体表现为黏度对温度变化的敏感性越高则储层中压力的数值越大,各窜流阶段出现得越早,而且会缩短溶洞向裂缝窜流进行的时间并减弱其效果;造成压力导数提前衰减。To study the characteristics of the wellbore pressure changes of thermal recovery of heavy oil in carbonate reservoirs,considering the effect of temperature on viscosity of oil and stress sensitivity of reservoirs,the triple permeability mathematical model in triple media has been constructed.The mathematical model is of nonlinear partial differential equations with variable coefficients.The difference equations have been discretized by the fully implicit finite difference scheme.Newton-Raphson method has been used for solving nonlinear difference equations.The Jacobi matrices of the difference equations are tridiagonal matrix.Using the properties of tridiagonal matrix,the iteration speed is improved.According to the calculation results,the typical well test curves have been plotted.Sensitivity of parameters has been analyzed.There are eight stages of pressure response.The sensitivities of viscosity depend on temperature are different in different reservoirs.The higher the sensitivities of viscosity depend on temperature,the greater the values of pressure in reservoirs.When the cross flow stages are earlier,the time of the cross flow between the frac tures and vugs is shortened and the strength is weakened,causing the earlier decrease in the pressure derivative.

关 键 词：三重介质 碳酸盐岩 稠油 变系数方程组 试井 

分 类 号：TE312[石油与天然气工程—油气田开发工程]