Probabilistic collocation method for unconfined flow in heterogeneous media.
Probabilistic collocation method for unconfined flow in heterogeneous media.
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DOI：
10.1016/j.jhydrol.2008.11.012
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发表时间：
2009-02
影响因子：
6.4
通讯作者：
Liangsheng Shi;Jin-zhong Yang;Dongxiao Zhang;Heng Li
中科院分区：
文献类型：
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作者：
Liangsheng Shi;Jin-zhong Yang;Dongxiao Zhang;Heng Li
本文将概率配点法应用于非均质无承压含水层的非线性流动研究。在现实问题中，可能存在多重随机输入、非线性、降雨/蒸发、井、非平稳趋势和复杂的边界条件。这些复杂性可能会导致流的强烈空间非平稳性，这是大多数现有方法无法很好地处理的。本文用概率配置方法研究了一类一般的无约束问题。将流动的随机微分方程简化为一组确定性方程，这些方程无需修改即可借助现有的确定性求解器求解。考虑两种类型的随机输入，它们可能是完全相关的，也可能是不相关的。该方法在降雨/蒸发、泵注井、复合平均电导率场等情况下进行了综合验证。该方法可以很容易地将确定性模拟中的成熟技术与随机处理相结合，从而为解决具有复杂水力参数场、非平凡边界条件和现实源/汇的随机问题提供了一种实用的方法。
In this study, we make use of the probabilistic collocation method in studying nonlinear flow in heterogeneous unconfined aquifers. In realistic problems there may exist multiple random inputs, nonlinearity, rainfall/evaporation, wells, nonstationary trends and complex boundary conditions. These complications may lead to strong spatial nonstationarity in the flow, which cannot be handled well with most existing approaches. In the present work, a general unconfined problem is explored with the probabilistic collocation method. The stochastic differential equation of flow is reduced into a set of deterministic equations that can be solved with the aid of existing deterministic solvers without any modification. Two types of random inputs are considered, which may be either perfectly correlated or uncorrelated. This approach is demonstrated through some synthetic cases in the presence of rainfall/evaporation, pumping/injection wells, composite mean conductivity fields. The approach can easily combine the proven techniques in deterministic simulations with stochastic treatments and thus provides a practical way for solving stochastic problems with complex fields of hydraulic parameters, nontrivial boundary conditions, and realistic sources/sinks.