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首页> 外文期刊>Surveys in Geophysics: An International Review Journal of Geophysics and Planetary Sciences >Influence of Degree of Saturation in the Electric Resistivity-Hydraulic Conductivity Relationship
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Influence of Degree of Saturation in the Electric Resistivity-Hydraulic Conductivity Relationship

机译：饱和度对电阻率-液压电导率关系的影响

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摘要

The relationship between aquifer hydraulic conductivity and aquifer resistivity, either measured on the ground surface by vertical electrical sounding (VES) or from resistivity logs, or measured in core samples have been published for different types of aquifers in different locations. Generally, these relationships are empirical and semi-empirical, and confined in few locations. This relation has a positive correlation in some studies and negative in others. So far, there is no potentially physical law controlling this relation, which is not completely understood. Electric current follows the path of least resistance, as does water. Within and around pores, the model of conduction of electricity is ionic and thus the resistivity of the medium is controlled more by porosity and water conductivity than by the resistivity of the rock matrix. Thus, at the pore level, the electrical path is similar to the hydraulic path and the resistivity should reflect hydraulic conductivity. We tried in this paper to study the effect of degree of groundwater saturation in the relation between hydraulic conductivity and bulk resistivity via a simple numerical analysis of Archie's second law and a simplified Kozeny-Carmen equation. The study reached three characteristic non-linear relations between hydraulic conductivity and resistivity depending on the degree of saturation. These relations are: (1) An inverse power relation in fully saturated aquifers and when porosity equals water saturation, (2) An inverse polynomial relation in unsaturated aquifers, when water saturation is higher than 50%, higher than porosity, and (3) A direct polynomial relation in poorly saturated aquifers, when water saturation is lower than 50%, lower than porosity. These results are supported by some field scale relationships.
机译：对于在不同位置的不同类型含水层，已经公开了含水层水力传导率和含水层电阻率之间的关系，该关系是通过垂直电测深（VES）在地面上测量的，或者是通过电阻率测井测得的，或者是在岩心样品中测量的。通常，这些关系是经验的和半经验的，并且局限于少数位置。这种关系在某些研究中具有正相关，而在另一些研究中则具有负相关。到目前为止，还没有潜在的物理定律控制这种关系，这一规律尚未完全理解。电流沿着阻力最小的路径，水也一样。在孔隙内和孔隙周围，电的传导模型是离子的，因此，介质的电阻率更多地由孔隙率和水的电导率控制，而不是由岩石基质的电阻率控制。因此，在孔隙水平上，电路径类似于水力路径，电阻率应反映水力传导率。我们试图通过对阿奇第二定律的简单数值分析和简化的Kozeny-Carmen方程来研究地下水饱和度对水力传导率与体电阻率之间关系的影响。根据饱和度，研究得出了水力传导率和电阻率之间的三个特征非线性关系。这些关系为：（1）在完全饱和含水层中且当孔隙度等于水饱和度时的反幂关系;（2）在不饱和含水层中当水饱和度高于50％，高于孔隙度时的逆多项式关系;以及（3）当水饱和度低于50％且低于孔隙度时，饱和度差的含水层中的直接多项式关系。这些结果得到某些领域比例关系的支持。

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