Abstract: Device, medium and method for generating an image of a subsurface of the earth. The method includes generating an ensemble of realizations (M) based on data related to the subsurface; applying an objective function (O) to members (m) of the ensemble of realizations (m) and corresponding estimated data to estimate a mismatch; selecting a best sensitivity matrix (G) from a plurality of sensitivity matrices associated with the objective function (O) and the ensemble of realizations (M); updating realization parameters (mpr), which are used as input for a forward model (f), to calculate the corresponding estimated data, based on the best sensitivity matrix (G); and generating an image of the subsurface based on (1) the data related to the subsurface of the earth and (2) the forward model (f) with updated realization parameters (mpr).

Abstract: Device, medium and method for generating a multidimensional image of a subsurface of the earth. The method includes receiving data related to the subsurface of the earth; generating an ensemble of realizations associated with the subsurface based on the received data; applying wavelet re-parameterization to spatial properties of the members of the ensemble to calculate a set of wavelet coefficients; reconstructing the spatial properties of the ensemble based on a subset of the wavelet coefficients; applying a forward simulator to the reconstructed spatial properties of the ensemble for estimating one or more physical parameters of the subsurface; applying an ensemble-based optimization method to update the subset of the wavelet coefficients; and generating multidimensional image of the subsurface based on the updated subset of the wavelet coefficients.

Abstract: Device, medium and method for generating a multidimensional image of a subsurface of the earth. The method includes receiving data related to the subsurface of the earth; generating an ensemble of realizations associated with the subsurface based on the received data; applying wavelet re-parametrization to spatial properties of the members of the ensemble to calculate a set of wavelet coefficients; reconstructing the spatial properties of the ensemble based on a subset of the wavelet coefficients; applying a forward simulator to the reconstructed spatial properties of the ensemble for estimating one or more physical parameters of the subsurface; applying an ensemble-based optimization method to update the subset of the wavelet coefficients; and generating multidimensional image of the subsurface based on the updated subset of the wavelet coefficients.

Abstract: Device, medium and method for generating an image of a subsurface of the earth. The method includes generating an ensemble of realizations (M) based on data related to the subsurface; applying an objective function (O) to members (m) of the ensemble of realizations (m) and corresponding estimated data to estimate a mismatch; selecting a best sensitivity matrix (G) from a plurality of sensitivity matrices associated with the objective function (O) and the ensemble of realizations (M); updating realization parameters (mpr), which are used as input for a forward model (f), to calculate the corresponding estimated data, based on the best sensitivity matrix (G); and generating an image of the subsurface based on (1) the data related to the subsurface of the earth and (2) the forward model (f) with updated realization parameters (mpr).