Effect of leakage on confined non-darcian aquifer considering storage in semipervious layers

被引：1

作者：

Das, Tanmoy ^{[1
]}

Dhar, Anirban ^{[1
]}

机构：

[1] Indian Inst Technol Kharagpur, Dept Civil Engn, Kharagpur 721302, West Bengal, India

来源：

ADVANCES IN WATER RESOURCES | 2023年 / 182卷

关键词：

Confined aquifer; Semipervious layers; Izbash equation; Wellbore storage; PARTIALLY PENETRATING WELL; SEMIANALYTICAL SOLUTION; UNCONFINED AQUIFER; FLOW;

D O I：

10.1016/j.advwatres.2023.104565

中图分类号：

TV21 [水资源调查与水利规划];

学科分类号：

081501 ;

摘要：

A set of analytical solutions have been presented for non-Darcian flow to a well in a leaky confined aquifer system considering leakage from the storage of semipervious layers/adjacent aquifer lying above and below the main aquifer. Flow in the main aquifer has been assumed to be non-Darcian and horizontal, whereas flow in the semipervious layers is assumed to be Darcian and vertical. The Izbash equation has been employed to describe the non-Darcian flow. Six general cases have been considered with/without wellbore storage and different adjacent aquifer conditions. Analytical solutions under unsteady and steady-state conditions have been obtained in the Laplace domain. Talbot method has been utilized for numerical inversion Laplace domain solution to the actual solution domain. The obtained analytical solutions clearly quantifies the effect of storage.

引用

页数：15

共 28 条

[1] A unified framework for numerically inverting Laplace transforms [J].

Abate, Joseph ;

Whitt, Ward .

INFORMS JOURNAL ON COMPUTING, 2006, 18 (04) :408-421

[2]

Batu V, 1998, Aquifer Hydraulic: A Comprehensive Guide to Hydrogeologic Data Analysis

[3] Forchheimer groundwater flow law type curves for leaky aquifers [J].

Birpinar, ME ;

Sen, Z .

JOURNAL OF HYDROLOGIC ENGINEERING, 2004, 9 (01) :51-59

[4]

BRINKMAN HC, 1947, APPL SCI RES, V1, P27

[5] AN IMPROVED METHOD FOR NUMERICAL INVERSION OF LAPLACE TRANSFORMS [J].

de Hoog, FR ;

KNIGHT, JH ;

STOKES, AN .

SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1982, 3 (03) :357-366

[6] Pre-Darcy Flow in Porous Media [J].

Dejam, Marteza ;

Hassanzadeh, Hassan ;

Chen, Zhangxin .

WATER RESOURCES RESEARCH, 2017, 53 (10) :8187-8210

[7] Pumping-Induced Non-Darcian Flow in a Finite Confined Aquifer [J].

Feng, Chen ;

Cai, Binghua ;

Feng, Qinggao .

GEOFLUIDS, 2022, 2022

[8]

Feng QG, 2016, HYDROGEOL J, V24, P1287, DOI 10.1007/s10040-016-1389-8

[9]

Hantush M.S., 1956, Transactions, American Geophysical Union, V37, P702, DOI DOI 10.1029/TR037I006P00702

[10]

Hantush M.S., 1955, EOS T AM GEOPHYS UN, V36, P95, DOI [DOI 10.1029/TR036I001P00095, 10.1029/TR036i001p00095]

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