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保角变换法在水压裂缝缝内流场数值模拟中的应用研究
引用本文:杨秀夫,陈勉,刘希圣,蒋海军. 保角变换法在水压裂缝缝内流场数值模拟中的应用研究[J]. 中国海上油气(工程), 2002, 0(5)
作者姓名:杨秀夫  陈勉  刘希圣  蒋海军
作者单位:丹文能源中国有限公司,石油大学,石油大学,中国石油勘探开发研究院 深圳,518067,北京,102200,北京,102200,北京,100083
摘    要:均匀介质中的水压裂缝是按椭圆形状向前延伸的,数值求解缝内二维流场的压力分布是水力压裂工艺的关键。水压裂缝二维流场的数值模拟分2部分进行:首先是物理域的保角变换——物理平面的椭圆域变换成计算平面上的矩形域;其次是控制方程的转换——物理平面的控制方程通过保角变换方程转换到计算平面上后,在矩形域内模拟缝内流场随裂缝几何参数的变化规律:从而求出缝内流体真实的压力分布规律。

关 键 词:水压裂缝  流场  数值求解  保角变换  控制方程转换  模拟流场  压力分布

Application Research of Conformal Conversion to the Numerical Simulation of Fluid Field Inner Hydraulic Fracture
Yang Xiufu,Chen Mian,Liu Xishen,Jiang Haijun. Application Research of Conformal Conversion to the Numerical Simulation of Fluid Field Inner Hydraulic Fracture[J]. China Offshore Oil and Gas(Engineering), 2002, 0(5)
Authors:Yang Xiufu  Chen Mian  Liu Xishen  Jiang Haijun
Abstract:The hydraulic fracture prolongation in the manner of ellipse in the uniform media formation. The key step for hydraulic fracture technology is to numerical simulate and search for the pressure distribution of two dimensions fluid fields inner the fractures. The numerical simulation for the two dimension fluid fields is including two steps. Firstly, the conformal conversion, namely conversion the ellipse shape in the physical plan into rectangle shape on the calculation plane. Secopdly, the control equation conversion, transferred the control equation belong to the physical plane into the calculation plane by means of the conformal equations.
Keywords:hydraulic fracture   fluid fields   numerical simulation   conformal conversion   control equation conversion   fluid field simulation   pressure distribution
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