Abstract: The sources of microseismic hydraulic fracture events (“hydro-fracs”) are located for image mapping by the calculation of Green's functions G(x, z, t|x?, z?, 0) which is estimated using, e.g., RVSP, VSP, SWD and/or surface data, with the Green's functions used as migration kernels with greater accuracy than the prior art techniques, e.g. the diffraction limit, because all of the natural arrivals in the data are utilized.

Abstract: The sources of microseismic hydraulic fracture events (“hydro-fracs”) are located for image mapping by the calculation of Green's functions G(x,z,t|x?,z?,0) which is estimated using, e.g., RVSP, VSP, SWD and/or surface data, with the Green's functions used as migration kernels with greater accuracy than the prior art techniques, e.g. the diffraction limit, because all of the natural arrivals in the data are utilized.

Abstract: A system and method use 2D and 3D numerical gradient operators for reducing anisotropic inaccuracies in digital image processing. Enhanced isotropic operators are derived by first parameterizing corresponding numerical operators, followed by determining the parameters for the operators by matching analytical gradients with numerical gradients, which produces generic frequency-independent operators. The system and method also optimize the design of operators for use at any given frequency range needed for any special purpose application.

Abstract: A system and method using inverse-vector processing to iterate through a loop of three steps: set a guide direction, invert opposite vectors, and average vectors to update the guide direction, for smoothing seismic amplitude data. The inverse-vector method can overcome instabilities where the traditional structure-tensor approach fails. The inverse-vector smoothing is simple to implement and more computational efficient. The resultant dips and azimuths are spatially consistent and thus more interpretable and suitable for calculation of curvature and other dip based attributes.

Abstract: A system and method use 2D and 3D numerical gradient operators for reducing anisotropic inaccuracies in digital image processing. Enhanced isotropic operators are derived by first parameterizing corresponding numerical operators, followed by determining the parameters for the operators by matching analytical gradients with numerical gradients, which produces generic frequency-independent operators. The system and method also optimize the design of operators for use at any given frequency range needed for any special purpose application.

Abstract: A system and method using inverse-vector processing to iterate through a loop of three steps: set a guide direction, invert opposite vectors, and average vectors to update the guide direction, for smoothing seismic amplitude data. The inverse-vector method can overcome instabilities where the traditional structure-tensor approach fails. The inverse-vector smoothing is simple to implement and more computational efficient. The resultant dips and azimuths are spatially consistent and thus more interpretable and suitable for calculation of curvature and other dip based attributes.

Abstract: A method of smoothing data to reduce or remove noise while preserving edge information in the data selects an output point in the data, identifies the most homogeneous neighborhood around the selected output point and outputs a corrected value for the selected output point based upon data points in the identified neighborhood.

Abstract: A method of smoothing data to reduce or remove noise while preserving edge information in the data selects an output point in the data, identifies the most homogeneous neighborhood around the selected output point and outputs a corrected value for the selected output point based upon data points in the identified neighborhood.