Predicting solute plume evolution in heterogeneous porous formations
Predicting solute plume evolution in heterogeneous porous formations
复制标题
预测非均质多孔地层中溶质羽流的演化
DOI：
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发表时间：
1994
期刊：
影响因子：
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通讯作者：
G. Dagan
中科院分区：
文献类型：
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作者：
G. Sposito;G. Dagan
在非均质多孔地层中的溶质羽流的时间演化的建模通常集中在综合现场实验中计算的低阶空间浓度矩上，在该实验中，羽流在其注入后发展的连续阶段进行天气学采样。通常已经调用的随机性质的假设，以推导方程，预测这些空间时刻的时间依赖性，并允许他们的解释方面的字段浓度数据。在本文中，低阶空间矩的表达式推导出的基础上的一个纯粹的动力学制定的羽流运动的自治常微分方程的稳定的流体速度场的解决方案。导出的方程强调空间相互依赖的重要性（任意）的初始状态的溶质羽流，定义由其浓度场，和随后的位移的移动空间点确定的地下水速度场。
Modeling of the time evolution of a solute plume in a heterogeneous porous formation has often focused on low-order spatial concentration moments calculated in comprehensive field experiments in which a plume is sampled synoptically at successive stages of its postinjection development. Assumptions of a stochastic nature usually have been invoked to derive equations that predict the time dependence of these spatial moments and permit their interpretation in terms of field concentration data. In this paper, expressions for the low-order spatial moments are derived on the basis of a purely dynamical formulation of plume motion in terms of the solution of the autonomous ordinary differential equation determined by a steady fluid velocity field. The equations derived stress the importance of spatial interdependence between the (arbitrary) initial state of a solute plume, as defined by its concentration field, and the subsequent displacements of moving spatial points determined by a groundwater velocity field.