岩体渗流的一种改进数学模型

Improved mathematical model for seepage in rock mass

鉴于常规岩体渗流模拟数学模型存在拟真性差、水量交换项难确定、计算难度大、不能全面反映岩体渗流真实物理特性等不足,从离散-连续介质渗透机理出发,引入无厚度渗透突变单元,建立了改进的离散-连续介质耦合模型,提出了反映水头间断程度的连续系数概念,并通过不同地质条件下水头间断现象研究,分析了合理的连续系数取值规律.研究表明,改进模型能够真实反映岩体渗流中的水头间断现象,较容易地解决常规数学模型中水量交换难确定的问题.

The conventional mathematical models for simulation of seepage in a rock mass have many shortcomings, such as poor reality simulation, difficulty in determination of flux exchange, difficulty in calculation, and incapability of full and effective reflection of physical properties of seepage in a rock mass. Based on the seepage mechanism of a discretecontinuous medium, a discrete-continuum mathematical model improved by introducing discontinuous elements with zero thickness was established. A concept of a continuous coefficient reflecting the extent of head discontinuousness was proposed. Reasonable values of the continuous coefficient were analyzed through the analysis of different geology conditions. The results indicate that the improved model can simulate the real head discontinuousness phenomena of seepage in a rock mass and can solve the problem of the flux exchange in the conventional mathematical models.