考虑二次梯度影响的非线性渗流模型的预估校正法

Title:Predictor-Corrector Method for Nonliner Flow Model Including a Quadratic Gradient Term

本文建立了考虑变形介质和启动压力梯度影响的低渗透渗流数学模型,采用稳定性和收敛性都很好的预估校正法求解模型,并进行了精度分析。最后对启动压力梯度和渗透率模数的敏感性进行了对比分析,结果表明启动压力梯度对后期压力曲线的影响都要大于渗透率模数的影响。

The well test models in low permeability reservoirs are built in this paper, considering the influence of starting pressure gradient and deformation of the media, this paper adopts the predictor - corrector method, which has good stability and convergence to obtain the solution of the models. The accuracy of the numerical method is analyzed. At last,the sensitivity of starting pressure gradient and permeability modulus is comparatively analyzed. The results showed that the starting pressure gradient has more influence on the pressure curvein than permeability modulus in the late period.