LAUSR

Abstract The Tilt-Euler deconvolution based on the first derivatives of the tilt angle is advanced from the routine Euler deconvolution and it is widely used. It estimates both the horizontal location and the depth of magnetic bodies without the known structural index. Since the derivatives of the tilt angle cannot be calculated when the first horizontal derivatives of the magnetic anomaly are equal to zero, there are singularities in the inversion from the Tilt-Euler method. We present an improved method for the Tilt-Euler deconvolution, which avoids the occurrence of singularities in the calculation and reduces the unstable factors in the inversion. Since the Euler methods should be implemented in a window, we apply the standard deviation of the Euler solutions as the measure of dispersion to determine the optimal window size. Both the model test and the field application show that the solutions of the improved Tilt-Euler deconvolution are more concentrated than that of the Tilt-Euler deconvolution and, subsequently, result in a more robust interpretation. In the field application, the results of the proposed method imply that the source body is probably a dike with limited extent.