A geostatistically based inverse model for electrical resistivity surveys and its applications to vadose zone hydrology

摘要: [1] A sequential, geostatistical inverse approach was developed for electrical resistivity tomography (ERT). Unlike most ERT approaches, this new allows inclusion of our prior knowledge general geological structures an area and point measurements to constrain the estimate field. This also permits sequential different data sets, mimicking collection scheme commonly employed in field survey. Furthermore, using conditional variance concept, model quantifies uncertainty caused by spatial variability measurement errors. Using approach, numerical experiments were conducted demonstrate effects bedding orientation on surveys show both usefulness associated with delineating distribution down-hole arrays. statistical analysis subsequently undertaken explore resistivity-moisture relation interpretation change water content vadose zone, resistivity. Core samples collected from a site investigate relation. Numerical illustrate how spatially varying relations affect level moisture based estimated Other possible complications are discussed. INDEX TERMS: 0903 Exploration Geophysics: Computational methods, potential fields; 1869 Hydrology: Stochastic processes; 1875 Unsaturated zone; 1866 Soil moisture; 3260 Mathematical Inverse theory; KEYWORDS: model, tomography, resistivitymoisture relation, variability, sequential/successive linear estimator