同登科, 蔡郎郎, 陈钦雷. 考虑二次梯度项影响的双重介质流动分析[J]. 工程力学, 2002, 19(3): 99-104.
引用本文: 同登科, 蔡郎郎, 陈钦雷. 考虑二次梯度项影响的双重介质流动分析[J]. 工程力学, 2002, 19(3): 99-104.
TONG Deng-ke, CAI Lang-lang, CHEN Qin-lei. FLOW ANALYSIS OF FLUID IN DOUBLE POROUS MEDIA INCLUDING THE EFFECTS OF THE QUADRATIC-GRADIENT TERM[J]. Engineering Mechanics, 2002, 19(3): 99-104.
Citation: TONG Deng-ke, CAI Lang-lang, CHEN Qin-lei. FLOW ANALYSIS OF FLUID IN DOUBLE POROUS MEDIA INCLUDING THE EFFECTS OF THE QUADRATIC-GRADIENT TERM[J]. Engineering Mechanics, 2002, 19(3): 99-104.

考虑二次梯度项影响的双重介质流动分析

FLOW ANALYSIS OF FLUID IN DOUBLE POROUS MEDIA INCLUDING THE EFFECTS OF THE QUADRATIC-GRADIENT TERM

  • 摘要: 传统的试井模型与物质平衡方程都是不一致的.在非线性偏微分方程中根据弱可压缩液体的假设忽略了二次梯度项,对于混气石油和低渗透储层这种方法是有疑问的,我们已经知道在试井较长时间忽略二次梯度项将产生误差.本文对于双重介质流动系统建议了与物质平衡方程一致的方法,保留了非线性偏微分方程中所有项,建立了双重介质流动模型.采用Douglas-Jones预估-校正法获得了无限大地层定产量生产时和定压生产时双重介质模型的数值解,分别讨论了液体压缩系数和双重介质参数变化时压力变化规律,做出了典型压力曲线图版,这些结果可用于实际试井分析.

     

    Abstract: Traditional well-test models for liquid flow are not consistent with material balance equation. According to assumption of slightly compressible fluid, the quadratic gradient term in nonlinear partial differential equation is usually neglected. This method is questionable for live oil and low permeability reservoirs. It is known that the neglect of the quadratic gradient term results in errors for large values of well-test time. A method that is consistent with material balance equation for fractured reservoir with double porosity is proposed in this paper. All terms in nonlinear partial differential equation are retained. Double porosity models are built. The numerical solutions of double porosity models are obtained by Douglas-Jones predictor-corrector method in a constant rate production and constant-pressure production in an infinitely large system. This paper addresses the change rule of pressure when fluid compressibility and double porosity parameters change. The plots of typical pressure curves are given, and the results can be applied to well-test analysis.

     

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