Inversion of potential field data using the structural index as weighting function rate decay

摘要: Nonparametric inverse methods provide a general framework for solving potentialfield problems. The use of weighted norms leads to regularization problem Tikhonov form. We present an alternative procedure estimate the source susceptibility distribution from potential field measurements exploiting inversion by means flexible depth-weighting function in formulation. Our approach improves formulation proposed Li and Oldenburg (1996, 1998), differing significantly definition function. In our formalism depth weighting is associated not decay single block (which can be representative just part source) but whole source, thus implying that data independent on cell shape. So, procedure, given with fixed exponent structural index N as exponent. Differently than previous methods, choice gives substantial objectivity form consequent solutions. allowed values depend range sources: 0 ≤ 3 (magnetic case). analysis regarding cases simple sources such dipoles, dipole lines, dykes or contacts, validate hypothesis. study complex synthetic case also proves cannot necessarily assumed equal 3. Moreover it should kept constant multi-source models instead indices different sources. this way we are able successfully invert magnetic Vulture area, Southern Italy. An original aspect scheme brings explicit link between two widely used types interpretation namely those assuming homogeneous fields, Euler deconvolution extreme points transformation under Tikhonovform including availability further constraints, drillings known geology, will definitely improve quality solution.