含气介质临界点、流体和骨架弹性参数的数值计算方法

目前临界孔隙度及孔隙介质的研究主要为测试分析的实验方法，如何运用数值计算方法求取孔隙流体介质临界点和组分弹性参数一直是备受关注的课题.本文提出了求取孔隙介质临界点、孔隙内流体和骨架弹性参数的数值计算公式及方法，并结合含气样品测试数据实现了这种数值计算.文章首先给出了3个包含孔隙度的线性方程，通过有机组合每个线性方程中的两个系数得到求取有关弹性参数的数值计算公式.然后，详细阐述了计算的方法和步骤以及需要注意的问题，把室内含气砂岩样品实测的综合介质密度、纵波速度和横波速度作为数值计算的输入数据，求得了临界点和流体及骨架等相关弹性参数的具体数值.通过比较分析本文数学方法求得的计算数据与实验方法测得的实测数据，表明了该数值计算公式的正确性和数值实现方法的有效性.

Numerical calculation method for getting critical point, pore fluid and framework parameters of gas-bearing media

The mostly used methods for studying critical porosity and porous media are experimental measurement and analysis of testing data, and how to determine the porosity at critical point and the constituents′ parameters are also topics of great concern. In this article, we provide a method for calculation of these elastic parameters. In the beginning, we derive three linear equations for numerical calculation. By combining regression coefficients of the equations, we propose equations for calculating constituents′ parameters. After that we elaborate on the steps for calculation and give some notes. Then we use our method to analyze gas-bearing sandstone samples. In the process, let entire densities, P-velocities and S-velocities as input data, we calculate relative parameters about pore fluid, framework and critical point. In the end, by comparing the results with test data of experiment measurement, we test our method and it is proved to be successful.