A direct method for the identification of the parameters of dynamic nonhomogeneous aquifers
A direct method for the identification of the parameters of dynamic nonhomogeneous aquifers
复制标题
动态非均质含水层参数直接辨识方法
DOI：
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发表时间：
1975
期刊：
影响因子：
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通讯作者：
L. Duckstein
中科院分区：
文献类型：
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作者：
B. Sagar;S. Yakowitz;L. Duckstein
提出了一种求解该反问题的方法。这种方法不需要迭代求解含水层方程，这是目前许多识别方案的一个基本特点。通过各种内插算法从测量样本中近似计算出代表观测到的因变量(可能是水头、化学物质浓度或温度)的曲面形状。一旦对因变量的各种导数进行了近似，辨识问题就局部地归结为小维度的代数方程。结果表明，对于一般非均质性和各向异性的含水层条件，该方法是可行的。可以将输入视为待评估的未知数。通过对非均质含水层方程模拟解的离散解点的应用，对该方法进行了评价。
A method to solve the inverse problem is developed. This method does not require the iterative solution of the aquifer equation, which is an essential characteristic of many current identification schemes. The shape of the surface representing the observed dependent variable (which may be hydraulic head, chemical concentration, or temperature) is approximated from measured samples by means of various interpolation algorithms. Once the various derivatives of the dependent variable are approximated, the identification problem reduces locally to algebraic equations of small dimension. It is shown that aquifer conditions of general heterogeneity and anisotropy are amenable to this method. Input may be treated as an unknown to be evaluated. The method is appraised by application to scattered solution points of a simulated solution to a nonhomogeneous aquifer equation.