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考虑二次梯度的非线性双重介质渗流模型

Ben-cheng WANG,Guo-xin SHI,Jian-guo LU,Lin-xiang SANG,Cheng-wei JI,Yong-lu JIA

Journal of Chengdu University of Technology (Science and Technology Edition)（2011）

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Abstract
古典渗流理论常被简化为简单的常规线性渗流,这与实际情况有很大误差.针对双重介质油藏,从质量守恒原理出发,详细地推导出了二次压力梯度非线性渗流偏微分方程,发现线性渗流是非线性渗流的近似、简化与处理;建立了考虑二次压力梯度的双重介质不稳定渗流试井数学模型;对其变量代换,最后利用Douglas-Jones预估-校正数值解法进行求解.绘制了该模型的试井样版曲线并对不同参数进行了敏感性分析、二次压力梯度引起的误差分析,结果表明考虑二次压力梯度的影响更符合实际油藏,不应被忽略.
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Key words
Binary pressure gradient,Dual medium reservoir,Nonlinear filtering flow,Well testing
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