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Excess pore water pressure due to ground surface erosion. (English) Zbl 07182452
Summary: 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.
##### MSC:
 76 Fluid mechanics 35 Partial differential equations
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##### References:
 [1] Wang, H., Theory of Linear Poroelasticity with Applications to Geomechanics and Hydrogeology (2000), Princeton University Press: Princeton University Press Princeton, N.J. [2] Jiao, J. J.; Zheng, C., Abnormal fluid pressures caused by deposition and erosion of sedimentary basins, J. Hydrol., 204, 124-137 (1998) [3] Fetter Jr., C. W., Applied Hydrogeology (2014), Pearson: Pearson Harlow, Essex [4] Scanlon, B. R.; Mace, R. E.; Barrett, M. E.; Smith, B., Can we simulate regional groundwater flow in a karst system using equivalent porous media models? Case study, Barton Springs Edwards aquifer, USA, J. Hydrol., 276, 137-158 (2003) [5] Neuzil, C. E.; Pollock, D. W., Erosional unloading and fluid pressure in hydraulically “tight” rocks, J. Geol., 91, 179-193 (1983) [6] Degens, E. T.; Paluska, A.; Eriksson, E., Rates of soil erosion, Ecol. Bull., 22, 185-191 (1976) [7] Siame, L. L.; Angelier, J.; Chen, R.-F.; Godard, V.; Derrieux, F.; BourlĂ¨s, D. L.; Braucher, R.; Chang, K.-J.; Chue, H.-T.; Lee, J.-C., Erosion rates in an active orogen (NE-Taiwan): a confrontation of cosmogonic measurements with river suspended loads, Q. Geochronol., 6, 246-260 (2011) [8] King, M. J., Immiscible two-phase flow in a porous medium: utilization of a Laplace transform boost, J. Math. Phys., 26, 870-877 (1985) · Zbl 0591.76167
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