A constrained impedance inversion method controlled by regularized parameters

Using the potential function method, we turn the ill-posed inversion problem into good-posed one, and provide the conditions of the edge-preserving potential function. Through changing regularized parameter values and selecting a reasonable initial regularized parameter value in inversion procedure,the inversion result and convergent speed are improved. Meanwhile,we use a fast simulation annealing algorithm in the inversion, which can overcome the limitation of the local extremum of objective function,and acquire a global optimum result. Through calculating in theoretic model and applying to the field data, it is proved that this method has the advantage of high precision and practicability.