应用单调同伦法计算中基性火成岩含气储层参数

Application of Monotone Homotopy Method in Calculating Reservoir Parameters of Intermediate and Basic Igneous Rock Gas-bearing Reservoirs

从中基性火成岩含气储层的特点出发,寻找利用密度测井结合声波测井和电阻率测井资料同时计算孔隙度、饱和度的数学模型,最终将数学模型整理为一个非线性方程。通过对求解非线性方程的方法进行分析,提出应用具有大范围收敛的单调同伦法求解非线性方程。计算表明,该方法在求解非线性方程时效果较好,计算的中基性火成岩储层参数合理。

On the basis of characteristics of intermediate or basic igneous rock gas-bearing reservoirs,a mathematical model was established for calculating porosity and saturation simultaneously by using the combination of density logging,acoustic logging and resistivity logging data,the mathematical model was eventually rebuilt as a nonlinear equation.Through analysis of the method for solving nonlinear equations,a monotone homotope method,which is a widely convergent method,is used for nonlinear equations.Numerical simulations show that this numerical algorithm is effective,the reservoir parameters of intermediate basic igneous rock are reasonable.