水气两相流系统K-S-P模型参数反演的最优估计  

Optimal estimation of parameters inversion for the relationship of permeability-saturation-pressure in water-air phase flow system

作　　者：薛强[1] 冯夏庭[1] 梁冰[2] 刘建军[3] 

机构地区：[1]中国科学院武汉岩土力学研究所,湖北武汉430071 [2]辽宁工程技术大学力学与工程科学系,辽宁阜新123000 [3]武汉工业学院多孔介质力学研究所,湖北武汉430023

出　　处：《水科学进展》2005年第4期488-493,共6页Advances in Water Science

基　　金：国家自然科学基金资助项目(50309015);武汉市青年科技晨光计划资助项目(20055003059-33);国家重点基础研究发展计划(973)资助项目(2002CB412708);湖北省油气勘探开发理论技术重点实验室开放基金资助项目(YK2005-08)~~

摘　　要：应用渗流力学和参数反演辨识最优化理论,建立了水气两相流控制方程,给出了控制两相流系统K-S-P模型参数之间的本构关系,并对其中的相关参数进行数值反演辨识,得出待求参数的最优估计值。对不同质地土壤的实验测试值进行对比分析,其结果吻合较好,验证了模型的适定性和可靠性,解决了实验数据处理以及结果对初值的敏感性问题,并且该数值方法可通过多组初值参数进行数值实验,结合实验结果来满足实际工程的需求。这不仅对非饱和带内污染物传输、气藏工程试井计算、填埋气体的释放以及挥发性有机污染物的去污分析中两相流数值计算提供基础,而且对K-S-P本构关系之间参数的确定提供了可靠的理论依据。The governing equation of water-air phase flow is the best one, and established by the two fluid volume-averaged momentum and continuity equations based on seepage mechanics and the optimization theory of parameter inversion. The constitutive relationships of permeability-saturation-pressure controlling multiphase flow is given. The optimal estimation values are obtained by adopting the constrained variable metric method to inverse the parameters. The results show that the optimized values by the numerical method in this paper is in good agreement with the experimental data, and the comparison analysis validates the reliability and practicability of the numerical model, which deals with the sensitivity of the values to the initial conditions. The uniqueness and stability analysis indicates that the inverse model is well posed, and that the numerical model provides sufficient information for the successful application of the parameter-estimating approach. The numerical experimental is completed by this method, using the numerous initial values to meet the practical project. It not only supplies the foundations to the numerical calculation of the contaminant transport in unsaturated zone, analyzes well the test data in the process of oil gas reservoir exploitation, the landfill gas release and the contamination remediation of the volatile organic compounds, but also provides the theoretical basis for determining the parameter of the permeability-saturation pressure.

关 键 词：水气两相流 K-S-P模型 参数反演 最优估计 

分 类 号：X53[环境科学与工程—环境工程]