Abstract
Predictability of groundwater flow and transport models greatly relies on adequate characterization of aquifer heterogeneity such as hydraulic conductivity (K), porosity (ϕ) etc. The traditional model combining Archie formula and Kozeny-Carman equation (thus called AKC model in this study) has been proven in a large number of studies to be helpful in evaluation of K through electrical resistivity (Re). However, AKC model does not take into account the widely-reported dependence of K on depth, thus often fails in deep formations (>100 m), as was observed in our study. In order to consider the impact of depth on the K-Re relation, a new model (called LAKC model) was introduced, which combined Louis decay model with AKC model. The effectiveness of LAKC model was verified against K measurements from stratified pumping tests and applied in a real aquifer in northern Ordos Basin, China. The results revealed that LAKC model can characterize the depth-dependent K-Re relation properly and that calibrated LAKC model is capable of providing adequate K estimates based on detailed Re measurements in a similar context of lithology.
Published Version
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