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Numerical evaluation of the suitability of the equivalent porous medium model for characterizing the two-dimensional flow field in a fractured geologic medium
Authors:Ma  Lei  Han  Di  Qian  Jiazhong  Gao  Di  Ma  Haichun  Deng  Yaping  Hou  Xiaoliang
Institution:1.School of Resources and Environmental Engineering, Hefei University of Technology, Hefei, 230009, China
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Abstract:

The equivalent porous medium (EPM) method is an efficient approximation method for groundwater yield analysis considering the equivalent permeability in a fractured geologic medium (FGM). The EPM method is widely used in many practical hydrogeological problems from local to regional scales. However, when calculating water head and velocity distributions, the suitability of the EPM model remains insufficiently evaluated. The suitability refers to the head error caused by the application of the EPM model. The smaller the error, the better the suitability. In this study, the influence of fracture geometric attributes on the suitability was quantitatively studied in numerical simulation experiments, and the EPM model simulation results were compared to those obtained with the discrete fracture network (DFN) model. The results indicated that the suitability decreased with increasing fracture spacing. When the fracture spacing was smaller than 0.6 m, the influence of an increase in the fracture spacing on the suitability was obvious. For the same fracture spacing, the suitability generally increased with increasing trace length. When the spatial variability of fracture aperture is not considered, the change of the fracture aperture did not impact the suitability. The fracture orientation slightly impacted the suitability, which can be ignored. An evaluation standard based on fracture parameters is proposed to estimate the suitability of the EPM model, which provides a scientific basis to ascertain whether this model can be applied to a given site to solve the head-related hydrogeological issues with FGMs.

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