解流体动力弥散问题的等参数溶质质量均衡近似有限元法

本文根据流体动力弥散理论,按地下水中溶质局部质量守恒原理,采用非线性基函数,对单元内的渗透速度和弥散系数作了平均化近似处理,导出了求解流体动力弥散问题的另一种新的数值法——等参数溶质质量均衡近似有限元法。与作者在文献〔1〕中给出的较精确的算法相比,虽不甚精细,但计算工作量大为减小,并保持了文献〔1〕中方法的主要优点,比较简便易行。

AN APPROXIMATIVE FINITE-ELEMENT METHOD OF SOIUTE QUALITY BALANCE WITH EQUAL PARAMETERS FOR THE SOLUTION TO THE PROBLEM ON FLUID DYNAMIC DISPERSION

According to the thoery on the fluid dynamic cispersion and based on the principle of the part mass conservation of the solute in groundwater, this Paper advanced another new numerical method for solving the problem on fluid dynamic dispersion by applying the nonlinear fundamental functions to handle the permeable velocity and the dispersion coefficient averagely and approxim-atively, that is the approximative finite-element method of the solute quality balance with equal parameters has been brought forth. Compared with the more accurate method which is given in the literature 1], the method is less accurate, but its amount of calculating work is decreased obiously. The method keeps up the main merits of the methods given in the literature1], and it is simpler and more convenient.