一种考虑温度和压缩性影响的压后压力降落数值模型

A NUMERICAL MODEL OF MINIFRAC PRESSURE DECLINE CONSIDERING THE EFFECT OF TEMPERATURE AND FRACTURING FLUID COMPRESSIBILITY

可压缩流体压裂测试压力动态分析已经得到很大的发展 ,模型从二维发展到三维 ,方法也从解析解发展到数值解 ,使得压力动态模拟结果更准确 ,更符合实际情况。文中在前人研究的基础上给出了一考虑温度和压缩性影响的模拟温度和压力动态的二维数值模型。关井前 ,利用数值解和PKN模型的近似解来计算裂缝几何参数 ;关井后 。

A mathematical model describing the pressure dynamic analysis of minifrac test for a compressible fracturing fluid has been developed from 2D to 3D,and the method has also run from analytic solution to numerical solution.These advances have made the solution more accurate and more practical.This paper presents a mathematical and numerical model to simulate temperature and pressure behavior considering the effect of fracturing fluid compressibility during a minifrac pressure test.The numerical solution and the approximate analytical solution of PKN model were employed to calculate the fracture geometric parameter before shut-in. After shut-in,linear elastic theory was used to calculate the fracture width from simulated pressure.