Well-posed Bayesian geometric inverse problems arising in subsurface flow
Well-posed Bayesian geometric inverse problems arising in subsurface flow
In this paper, we consider the inverse problem of determining the permeability of the subsurface from hydraulic head measurements, within the framework of a steady Darcy model of groundwater flow. We study geometrically defined prior permeability fields, which admit layered, fault and channel structures, in order to mimic realistic subsurface …