Excess pore water pressure due to ground surface erosion

Steven Gagniere; G. Stefan Llewellyn Smith; Hund-Der Yeh

doi:10.1016/j.apm.2018.03.041

Excess pore water pressure due to ground surface erosion

Steven Gagniere, G. Stefan Llewellyn Smith^*, Hund-Der Yeh

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環境工程研究所

研究成果: Article › 同行評審

1 引文斯高帕斯（Scopus）

摘要

The Laplace transform is applied to solve the groundwater flow equation with a boundary that is initially fixed but that starts to move at a constant rate after some fixed time. This problem arises in the study of pore water pressures due to erosional unloading where the aquifer lies underneath an unsaturated zone. We derive an analytic solution and examine the predicted pressure profiles and boundary fluxes. We calculate the negative pore water pressure in the aquifer induced by the initial erosion of the unsaturated zone and subsequent erosion of the aquifer.

原文	English
頁（從 - 到）	72-82
頁數	11
期刊	Applied Mathematical Modelling
卷	61
DOIs	https://doi.org/10.1016/j.apm.2018.03.041
出版狀態	Published - 1 9月 2018

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10.1016/j.apm.2018.03.041

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title = "Excess pore water pressure due to ground surface erosion",

abstract = "The Laplace transform is applied to solve the groundwater flow equation with a boundary that is initially fixed but that starts to move at a constant rate after some fixed time. This problem arises in the study of pore water pressures due to erosional unloading where the aquifer lies underneath an unsaturated zone. We derive an analytic solution and examine the predicted pressure profiles and boundary fluxes. We calculate the negative pore water pressure in the aquifer induced by the initial erosion of the unsaturated zone and subsequent erosion of the aquifer.",

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author = "Steven Gagniere and {Llewellyn Smith}, {G. Stefan} and Hund-Der Yeh",

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AU - Gagniere, Steven

AU - Llewellyn Smith, G. Stefan

AU - Yeh, Hund-Der

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N2 - The Laplace transform is applied to solve the groundwater flow equation with a boundary that is initially fixed but that starts to move at a constant rate after some fixed time. This problem arises in the study of pore water pressures due to erosional unloading where the aquifer lies underneath an unsaturated zone. We derive an analytic solution and examine the predicted pressure profiles and boundary fluxes. We calculate the negative pore water pressure in the aquifer induced by the initial erosion of the unsaturated zone and subsequent erosion of the aquifer.

AB - The Laplace transform is applied to solve the groundwater flow equation with a boundary that is initially fixed but that starts to move at a constant rate after some fixed time. This problem arises in the study of pore water pressures due to erosional unloading where the aquifer lies underneath an unsaturated zone. We derive an analytic solution and examine the predicted pressure profiles and boundary fluxes. We calculate the negative pore water pressure in the aquifer induced by the initial erosion of the unsaturated zone and subsequent erosion of the aquifer.

KW - Boost theorem

KW - Erosional unloading

KW - Groundwater flow

KW - Laplace transform

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DO - 10.1016/j.apm.2018.03.041

M3 - Article

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SN - 0307-904X

VL - 61

SP - 72

EP - 82

JO - Applied Mathematical Modelling

JF - Applied Mathematical Modelling

ER -

Excess pore water pressure due to ground surface erosion

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