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首页> 外文期刊>Advances in Water Resources >Inverse upscaling of hydraulic parameters during constant flux infiltration using borehole radar
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Inverse upscaling of hydraulic parameters during constant flux infiltration using borehole radar

机译：井眼雷达在恒定通量渗透过程中水力参数的反比例放大

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摘要

Modeling unsaturated flow in porous media requires constitutive relations that describe the soil water retention and soil hydraulic conductivity as a function of either potential or water content. Often, the hydraulic parameters that describe these relations are directly measured on small soil cores, and many cores are needed to upscale to the entire heterogeneous flow field. An alternative to the forward upscaling method using small samples are inverse upscaling methods that incorporate soft data from geophysical measurements observed directly on the larger flow field. In this paper, we demonstrate that the hydraulic parameters can be obtained from cross borehole ground penetrating radar by measuring the first arrival travel time of electromagnetic waves (represented by raypaths) from stationary antennae during a constant flux infiltration experiment. The formulation and coupling of the hydrological and geophysical models rely on a constant velocity wetting front that causes critical refraction at the edge of the front as it passes by the antennae. During this critical refraction period, the slope of the first arrival data can be used to calculate (1) the wetting velocity and (2) the hydraulic conductivity of the wet (or saturated) soil. If the soil is undersaturated during infiltration, then an estimate of the saturated water content is needed before calculating the saturated hydraulic conductivity. The hydraulic conductivity value is then used in a nonlinear global optimization scheme to estimate the remaining two parameters of a Broadbridge and White soil.
机译：对多孔介质中的非饱和流进行建模需要本构关系，该关系描述土壤保水率和土壤水力传导率随势或含水量的变化。通常，描述这些关系的水力参数是直接在小的土壤岩心上测量的，并且需要许多岩心才能扩展到整个非均质流场。使用小样本的正向放大方法的一种替代方法是反向放大方法，该方法合并了直接在较大流场上观测到的地球物理测量结果的软数据。在本文中，我们证明了在恒定通量渗透实验中，通过测量来自固定天线的电磁波（以射线路径表示）的首次到达传播时间，可以从跨井眼地面穿透雷达获得水力参数。水文和地球物理模型的制定和耦合依赖于恒定速度的湿润锋面，当锋面经过天线时会在锋面边缘产生临界折射。在此临界折射期间，可以使用第一个到达数据的斜率来计算（1）湿润速度和（2）湿（或饱和）土壤的水力传导率。如果在渗透过程中土壤饱和度不足，则在计算饱和水力传导率之前需要估算饱和水含量。然后将水力传导率值用于非线性全局优化方案中，以估算Broadbridge和White土壤的其余两个参数。

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