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基于波动采油对低渗储层物性改善的动态过程,利用变参量的岩土固结模型分析弹性波对饱和渗流流体径向模型流固位移、孔隙压力等的影响规律。通过Laplace变换与迭代消去,得到拉氏变换下低渗开发油藏波动控制方程为变系数高阶微分方程;利用变系数向量拆分与矩阵求法,推导了波动采油作用下饱和单相流体径向(定流量或定压)开发储层的流固位移近似解。通过Matlab编程,算例分析了饱和水相介质和不同振动频率下饱和油相介质的渗流、物性变化。结果表明,低频波动采油技术可增加低渗开发储层孔压和渗流速度,文中基础参数下,存在最佳振动频率5~30 Hz使得增幅最大,作用范围可达60 m,径向模型Laplace变换–Durbin离散近似求解适用于波传播时间较小的情况。
Based on the dynamic process of fluctuating oil production for improving the physical properties of the low permeability reservoir, the effect of elastic wave on the fluid-solid displacement and pore pressure of radial flow saturated fluid model is analyzed by using the variable parameters of soil consolidation model. By Laplace transform and iterative elimination, the fluctuating governing equations of low permeability reservoir under Laplace transform are obtained as higher-order differential equations with variable coefficients. By using variable coefficient vector splitting and matrix method, (Constant flow or constant pressure) to develop reservoir fluid-solid displacement approximation solution. Through Matlab programming, an example is given to analyze the seepage and physical properties of saturated aqueous media and saturated oil media under different vibration frequencies. The results show that the low frequency fluctuating oil production can increase the pore pressure and seepage velocity of low permeability reservoir. Under the basic parameters, the best vibration frequency is 5 ~ 30 Hz, which makes the maximum increase, and the range of action is up to 60 m. The radial model Laplace transform -Durbin Discrete Approximation Solves for situations where wave propagation time is small.