KGD、PKN和修改的P3D水力压裂设计模型的计算与对比  

Solution and comparison of KGD,PKN and a modified P3D model for hydraulic fracturing

作　　者：徐峰阳 

机构地区：[1]长江大学石油工程学院,湖北武汉430100

出　　处：《能源与环保》2017年第9期220-225,共6页CHINA ENERGY AND ENVIRONMENTAL PROTECTION

摘　　要：水力压裂设计的模型建立和模拟计算对压裂施工有着重要的意义。对矿场最常用的2种二维水力压裂设计模型(KGD、PKN)和拟三维模型(P3D)进行了分析,对拟三维模型进行了一些修改以得到真正的三维结果。并通过使用MATLAB脚本语言编制程序求解KGD、PKN和修改的P3D模型,利用MATLAB方便的三维图形绘制工具将结果可视化展示。对比3种模型的结果得出结论:拟三维压裂模型相比二维的KGD、PKN模型能反映出更多的裂缝信息;修改的拟三维模型相比三维模型更能真实地反映压裂施工的实际情况;PKN模型和KGD模型在内在力学机理上有着显著的差别,但是在某些相似的条件下(不考虑滤失的情况)所得到的结果在趋势上是一致的;修改的拟三维模型中,裂缝在缝长方向由半圆形变成半椭圆形,在缝宽方向上这个趋势不明显。该计算模型与结论对水力压裂数值模拟的深度研究具有指导意义。The model of hydraulic fracturing design was of great significance to field works. In this paper,two kinds of two-dimensional hydraulic fracturing design model （KGD） and pseudo 3D model （P3D） were analyzed, and some modifications were made to obtain the real three-dimensional result. And through the use of MATLAB scripting language program to solve KGD,PKN and modified P3D mod-el, the use of MATLAB convenient 3D graphics rendering tool to visualize the results displayed. Compare the results of the three models find that：Pseudo 3D model compared to two-dimensional KGD, PKN model can reflect more crack information; the modified three-di-mensional model is more realistic than the three-dimensional model to respond to the actual situation of real work;PKN model and KGD model have significant differences in the internal mechanical mechanism,but in some similar conditions（regardless of the leak off） the results are consistent in the trend. In the modified P3D model,the fracture is changed from semicircle to semi-elliptical in the longitudi-nal direction of the seam, and this trend is not obvious in the seam width direction. The calculation model and conclusion are of signifi-cance to the study of the numerical simulation of hydraulic fracturing.

关 键 词：KGD模型 PKN模型 拟三维模型 水力压裂 压裂模拟 

分 类 号：TE357[石油与天然气工程—油气田开发工程]