一种非线性复合介质不定常渗流数学模型  

New mathematical model for transient porous flow in nonlinear composite media

作　　者：王克亮[1] 王晓冬[2] 刘庆荣[3] 徐红梅[4] 

机构地区：[1]大庆石油学院石油工程学院,黑龙江大庆163318 [2]中国地质大学能源地质系,北京100083 [3]大庆油田有限责任公司第七采油厂,黑龙江大庆163417 [4]大庆油田有限责任公司第二采油厂,黑龙江大庆163414

出　　处：《大庆石油学院学报》2003年第1期16-18,共3页Journal of Daqing Petroleum Institute

摘　　要：给出了一种新的二区非线性复合介质不定常径向渗流数学模型 ,该模型中将复合介质内区渗透率归纳为径向距离的幂函数 ,应用该模型能更好地描述近井地带介质受伤害或改善状况下的油气井不定常渗流 ,幂指数能够反映受伤害或改善地带的非均质程度 .根据Bessel函数理论得到了新模型的Laplace变换解式 ,并由Stehfest数值反演方法对解式做了分析计算 ,绘制出压力及压力导数双对数曲线 .A new mathematical model of pressure transient problems for radial two-region nonlinear composite media is presented. In the model, the permeability is considered a power-law function of the radial distance from a well. By this model, it may be more appropriate to describe the pressure transient problems of damaged or improved wells. The power-law index can reflect the heterogeneity degree of the damaged or improved wells. We develop solutions to the model in the Laplace transform by using the theory of Bessel functions. The analysis was made according to the Stehfest numerical algorithm. The pressure and pressure differential coefficient on log-log graphs was drawn.

关 键 词：非线性复合介质 不定常渗流 数学模型 压力 压力导数 油气藏工程 

分 类 号：TE312[石油与天然气工程—油气田开发工程]