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Fractional flow equation in fractured aquifer using dual permeability model with non-singular kernel
Arabian Journal of Mathematics ( IF 0.9 ) Pub Date : 2020-09-07 , DOI: 10.1007/s40065-020-00293-y
Ritu Agarwal , Mahaveer Prasad Yadav , Ravi P. Agarwal

In this paper, a finite fractured aquifer, bounded by a stream and impervious layers on the other sides, has been considered. Variation in the level of groundwater is analyzed in confined aquifer for the unsteady flow. The governing differential equation for piezometric head involves the Caputo–Fabrizio fractional derivative operator with respect to time and is based on dual-porosity model with the assumption that the flow from fracture to block is in pseudo steady state. The obtained solutions can be used to anticipate the fluctuations in the waterlevels of the confined aquifer and for the numerical validation of a model in an aquifer.



中文翻译:

非奇异核双渗透模型在裂隙含水层中的分流方程

在本文中,已经考虑了有限的裂缝性含水层,其边界是河流和另一侧的不透水层。分析了非恒定流量的承压含水层中地下水水位的变化。测压压头的控制微分方程涉及Caputo–Fabrizio分数阶导数算子,并且基于双孔隙度模型,并假设从裂缝到块体的流动处于拟稳态。所获得的解可用于预测承压含水层水位的波动以及用于含水层中模型的数值验证。

更新日期:2020-09-08
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