论齐成伟幂比方程作为致密油藏渗流本构方程

发布时间：2018-08-20 16:49

【摘要】：岩心渗流测试显示致密油藏渗流是低速非线性渗流,而描写低速非线性渗流本构关系的数学模型已有很多。对已有低速非线性渗流数学模型中引用率较高的姜瑞忠方程、黄延章方程和最新出现的幂比方程进行对比分析,发现:幂比方程为整体可微函数方程,优于两分段可微函数方程形式的姜瑞忠方程和黄延章方程;幂比方程令启动压力梯度似有实无,巧妙地调和了存在启动压力梯度和不存在启动压力梯度两种对立观点,使致密油藏渗流研究不再纠缠于有无启动压力梯度,而姜瑞忠方程和黄延章方程中存在备受争议的启动压力梯度项;幂比方程首次从岩心渗流测试所得数据点的平滑线上拐点的存在,揭示出中速近线性渗流的存在并成功对其描述,而姜瑞忠方程和黄延章方程不具备描述中速近线性渗流的能力。因此,齐成伟幂比方程可作为致密油藏渗流本构方程。
[Abstract]:Core seepage tests show that the seepage flow in tight reservoirs is low-velocity nonlinear, and there are many mathematical models describing the constitutive relation of low-velocity nonlinear seepage. For the whole differentiable function equation, it is better than the Jiang Ruizhong equation and Huang Yanzhang equation in the form of two-stage differentiable function equation; the power ratio equation makes the starting pressure gradient appear to be real or not, and ingeniously reconciles the two opposing viewpoints of the existence of starting pressure gradient and the absence of starting pressure gradient, so that the study of tight reservoir seepage is no longer entangled in the presence or absence of starting pressure. Force gradient exists in Jiang Ruizhong equation and Huang Yanzhang equation, but the controversial starting pressure gradient term exists in Jiang Ruizhong equation and Huang Yanzhang equation; the existence of inflection points on the smooth line of data points obtained from core seepage test for the first time by power ratio equation reveals the existence and successful description of medium-speed near-linear seepage, while Jiang Ruizhong equation and Huang Yanzhang equation do not have the description of medium-speed near-linear see Therefore, the Qi Chengwei power ratio equation can be used as a seepage constitutive equation for tight reservoirs.
【作者单位】：重庆科技学院化学化工学院;中国石油大学(北京)石油工程学院;清华大学水利水电工程系;东北石油大学石油工程学院;中国石油勘探开发研究院;重庆科技学院石油与天然气工程学院;
【基金】：重庆科技学院校内科研基金项目“基于流体质点位时显函数的水驱油水界面的移动变形描述”(编号:CK2015Z34)资助
【分类号】：TE312

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