Magnetic source parameters of two-dimensional structures using extended Euler deconvolution

The Euler homogeneity relation expresses how a homogeneous function transfo rms under scaling. When implemented, it helps to determine source location for particular potential field anomalies. In this paper, we introduce an ad ditional relation that expresses the transformation of homogeneous function s under rotation. The combined implementation of the two equations, called here extended Euler deconvolution for 2-D structures, gives a more complete source parameter estimation that allows the determination of susceptibilit y contrast and dip in the cases of contact and thin-sheet sources. This all ows for the structural index to be correctly chosen on the basis of a prior i knowledge about susceptibility and dip. The: pattern of spray solutions e m anating from a single source anomaly can be attributed to interfering sou rces, which have their greatest effect on the flanks of the anomaly These s prays follow different paths when using either conventional Euler deconvolu tion or extended Euler deconvolution, The paths of these spray solutions cr oss and cluster close to the true source location. This intersection of spr ay paths is used as a discriminant between poor and well-constrained soluti ons, allowing poor solutions to be eliminated. Extended Euler deconvolution has been tested successfully on 2-D model and real magnetic profile data o ver contacts and thin dikes.