Excess pore water pressure due to ground surface erosion

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


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.

Original languageEnglish
Pages (from-to)72-82
Number of pages11
JournalApplied Mathematical Modelling
StatePublished - 1 Sep 2018


  • Boost theorem
  • Erosional unloading
  • Groundwater flow
  • Laplace transform

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