考虑渗流压力梯度时低渗岩土固结控制方程的解析解
发布时间：2018-11-09 10:37
【摘要】：基于波动采油技术背景,对初始状态饱和渗流流体低渗岩土的固结控制方程进行了半解析求解。Laplace变换与迭代消去后的一维或径向模型固结控制方程为包含变参量的四阶常(变)系数非线性偏微分方程。通过流体位移解指数形式假设与微分高阶项消除,转换为关于替换系数的特征方程求解,最终得到关于Laplace变换域内的流体位移通解。Matlab编程与数值算例表明,考虑初始渗流压力梯度项时,弹性波作用下低渗孔隙介质的渗流物性变化幅度明显增大.
[Abstract]:Based on the technical background of fluctuating oil recovery, In this paper, the semi-analytical solution of consolidation control equation of low-permeability rock and soil for initial saturated seepage fluid is carried out. The consolidation control equation of one-dimensional or radial model after Laplace transformation and iterative elimination is a fourth-order constant (variable) coefficient with variable parameters. Linear partial differential equation. By assuming the exponent form of the fluid displacement solution and eliminating the differential higher-order term, it is converted to the solution of the characteristic equation about the replacement coefficient. Finally, the general solution of the fluid displacement in the Laplace transform domain is obtained. The Matlab programming and numerical examples show that, When the initial seepage pressure gradient is taken into account, the variation range of percolation physical properties of low-permeability porous media increases obviously under the action of elastic wave.
【作者单位】： 燕山大学车辆与能源学院;中国石油大学(华东)石油工程学院;
【基金】：国家自然科学基金“低渗油藏低频振动辅助表面活性剂复合驱油机理研究”(51274229) 燕山大学博士基金“振动激励下储层流体流变性基础动力学研究”(No.BL17024)资助项目
【分类号】：O175
，
本文编号：2320157
[Abstract]:Based on the technical background of fluctuating oil recovery, In this paper, the semi-analytical solution of consolidation control equation of low-permeability rock and soil for initial saturated seepage fluid is carried out. The consolidation control equation of one-dimensional or radial model after Laplace transformation and iterative elimination is a fourth-order constant (variable) coefficient with variable parameters. Linear partial differential equation. By assuming the exponent form of the fluid displacement solution and eliminating the differential higher-order term, it is converted to the solution of the characteristic equation about the replacement coefficient. Finally, the general solution of the fluid displacement in the Laplace transform domain is obtained. The Matlab programming and numerical examples show that, When the initial seepage pressure gradient is taken into account, the variation range of percolation physical properties of low-permeability porous media increases obviously under the action of elastic wave.
【作者单位】： 燕山大学车辆与能源学院;中国石油大学(华东)石油工程学院;
【基金】：国家自然科学基金“低渗油藏低频振动辅助表面活性剂复合驱油机理研究”(51274229) 燕山大学博士基金“振动激励下储层流体流变性基础动力学研究”(No.BL17024)资助项目
【分类号】：O175
，
本文编号：2320157
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