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An integrated linear/non-linear flow model for the conduit-fissure-pore media in the karst triple void aquifer system

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Environmental Geology

Abstract

Most karstic aquifer media may be characterized as the triple-void media with highly-varied hydraulic properties, including matrix pore, fissure and conduit, in which liner flow may co-exist with non-linear flow. In this paper, an attempt is made to couple linear flow with non-linear flow in a single unified flow governing equations by introducing the concept of equivalent hydraulic conductivity (EHC) and deriving a general Darcy’s law for various flow. The expression of EHC in the karst conduit and fissure are also derived. The procedures of numerical implementation are demonstrated via an ideal model and a case study of karst aquifer system in the Beishan Ore Formation area, Guangxi Autonomous Region, China.

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Acknowledgement

This research is supported by the National Nature Sciences Foundation of China (NSFC). (Nos. 49872081 and 40202024). The authors thank Prof. Guangzhong Cui (Institute of Karst Geology, P.R. China) and Mr. Xuequan Yuan (The Seventh Geology Institute in Guangxi) for their support in geologica data, as well as Dr. Jiu Jimmy Jiao whose constructive suggestions led to a significant improvement of the manuscript. The authors would like to acknowledge an anonymous member of the editorial board and Professor Xinong Xie who edited the original manuscript and helped us so patiently with the English. Thanks are also given to Ms. Ni Jia and Ms. Yafei Ge for their help with the English.

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Authors and Affiliations

  1. Department of Hydrogeology and Water Resources, School of Environmental Studies, China University of Geosciences, 430074, Wuhan, China

    J. M. Cheng & C. X. Chen

  2. Department of Earth and Planetary Sciences, John Hopkins University, Baltimore, MD, 21218, USA

    J. M. Cheng

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  1. J. M. Cheng
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  2. C. X. Chen
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Correspondence to J. M. Cheng.

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Cheng, J.M., Chen, C.X. An integrated linear/non-linear flow model for the conduit-fissure-pore media in the karst triple void aquifer system. Env Geol 47, 163–174 (2005). https://doi.org/10.1007/s00254-004-1128-7

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  • DOI: https://doi.org/10.1007/s00254-004-1128-7

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