A semi-analytical generalized Hvorslev formula for estimating riverbed hydraulic conductivity with an open-ended standpipe permeameter

JOURNAL OF HYDROLOGY

卷:540

Article

Pozdniakov, Sergey P.¹  Wang, Ping²  Lekhov, Mikhail V.¹ 

[1] Lomonosov Moscow State Univ, Dept Hydrogeol, GSP-1, Moscow 119899, Russia

[2] Chinese Acad Sci, Inst Geog Sci & Nat Resources Res, Key Lab Water Cycle & Related Land Surface Proc, 11A Datun Rd, Beijing 100101, Peoples R China

关键词: Surface-groundwater exchange;    Hydraulic conductivity;    Slug tests;    Riverbed sediments;    Hydraulic resistance;    Superposition;   

DOI  :  10.1016/j.jhydrol.2016.06.061

来源: Elsevier

【 摘 要 】

The well-known Hvorslev (1951) formula was developed to estimate soil permeability using single-well slug tests and has been widely applied to determine riverbed hydraulic conductivity using in situ standpipe permeameter tests. Here, we further develop a general solution of the Hvorslev (1951) formula that accounts for flow in a bounded medium and assumes that the bottom of the river is a prescribed head boundary. The superposition of real and imaginary disk sources is used to obtain a semi-analytical expression of the total hydraulic resistance of the flow in and out of the pipe. As a result, we obtained a simple semi-analytical expression for the resistance, which represents a generalization of the Hvorslev (1951). The obtained expression is benchmarked against a finite-element numerical model of 2-D flow (in r-z coordinates) in an anisotropic medium. The results exhibit good agreement between the simulated and estimated riverbed hydraulic conductivity values. Furthermore, a set of simulations for layered, stochastically heterogeneous riverbed sediments was conducted and processed using the proposed expression to demonstrate the potential associated with measuring vertical heterogeneity in bottom sediments using a series of standpipe permeameter tests with different lengths of pipe inserted into the riverbed sediments. (C) 2016 Elsevier B.V. All rights reserved.

【 授权许可】

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