1. A computer-implemented method for automated rock physics modeling, comprising: (a) pre-processing data obtained from a suite of logging tools over a range of depths; (b) using an automated, computer-implemented procedure, determining a solution to an inverse problem associated with the rock physics model using the data from step (a), the solution including a list of optimal parameters; (c) performing a forward run of the rock physics model; and (d) computing a set of rock mechanical properties using the optimal parameters obtained in step (b).