# Depreciation factor equation to evaluate the economic losses from ground failure due to subsidence related to groundwater withdrawal

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Subsidencedue to groundwater withdrawal is a complex hydrogeological process affecting numerous cities settled on top of fluviolacustrine deposits. The discrete spatialvariation in the thickness of these deposits, in combination with subsidencedue to groundwater withdrawal, generates differential settlements andaseismic ground failure AGF characterized by a welldefined scarp. Incities, such AGF causes severe damages to urban infrastructure and considerableeconomic impact. With the goal of arriving to a general criterion for evaluatingthe economic losses derived from AGF, in the present work we propose thefollowing equation: ELi = PVi*DFi.Where PVi is the value of a property -i-, and DFi is adepreciation factor caused by structural damages of a property -i- due toAGF. The DFi is calculated empirically through:

. Thislast equation is based on the spatial relations of coexistence and proximityof property polygons and the AGF axis. The coexistence is valued as thequotient of the affectation area divided by the total area of the involvedproperty; and the proximity to the AGF axis is expressed as the inverse of theperpendicular distance from the centroid of the property polygon to the AGFaxis. The sum of these terms is divided by two to determine the percentage thataffects the property value PVi. These equations are relevantbecause it is the first indicator designed for the discrete assessment of theeconomic impacts due to AGF, and can be applied to real estate infrastructurefrom either urban or rural areas.

KEYWORDS

Aseismic Ground Failure; Groundwater Withdrawal Related Subsidence; Equation; Depreciation; Economic Losses

Cite this paper

Hernández-Madrigal, V. , Muñiz-Jáuregui, J. , Garduño-Monroy, V. , Flores-Lázaro, N. and Figueroa-Miranda, S. 2014 Depreciation factor equation to evaluate the economic losses from ground failure due to subsidence related to groundwater withdrawal. Natural Science, 6, 108-113. doi: 10.4236-ns.2014.63015.

Autor: ** Víctor Manuel Hernández-Madrigal, Jesús Arturo Muñiz-Jáuregui, Víctor Hugo Garduño-Monroy, Netzahualcoyotl Flores-Lázaro,**

Fuente: http://www.scirp.org/