Uncertainty in applying the linear poroelasticity model to field situations as a result of periodic loading in heterogeneous aquifers

Ching Min Chang, Hund-Der Yeh*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

The solid Earth's surface frequently experience changes in total stresses as a result of periodic loading. When the fluid-saturated porous media deform in response to changes in stress, the induced variations in pore volume affect the pore water pressure. The fluid flow therefore occurs in response to the gradient in the induced excess pore water pressure. This work aims at quantifying the spatial variability in excess pressure head produced by the periodic loading accounting for the variation of log hydraulic conductivity (lnK). It is important for the rational management of groundwater resources. A closed-form expression is developed by the nonstationary spectral approach to analyse the influence of the statistical properties of lnK process, the hydraulic parameters, and the spatial position. The general stochastic framework outlined in this work provides a basis for assessing the impact of statistical properties of input aquifer parameters on the output variability (or uncertainty).

Original languageEnglish
Pages (from-to)2454-2462
Number of pages9
JournalHydrological Processes
Volume29
Issue number10
DOIs
StatePublished - 15 May 2015

Keywords

  • Heterogeneous aquifers
  • Periodic loading
  • Stochastic modelling
  • Variance of excess pressure head

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