Abstract: Prediction and subtraction of multiple diffractions may include transforming previously acquired seismic data from a time-space domain to a transformed domain using a dictionary of compressive basis functions and separating, within the transformed previously acquired seismic data, a first portion and a second portion of the transformed previously acquired seismic data. Prediction and subtraction of multiple diffractions may also include predicting a plurality of multiple diffractions based on the separated first and second portions and adaptively subtracting the predicted multiple diffractions from the previously acquired seismic data. Prediction and subtraction of multiple diffractions may also include inverse transforming a particular seismic data set from the transformed domain to the time-space domain.

Abstract: Wavefield reconstruction may include reconstructing a wavefield at a location away from a seismic receiver based on seismic data sampled from the seismic receiver, a vector of model coefficients comprising a scattering potential, and at least one of a mapping matrix comprising a dictionary of Green's functions and an operator defined by a combination of a number of functions.

Abstract: Prediction and subtraction of multiple diffractions may include transforming previously acquired seismic data from a time-space domain to a transformed domain using a dictionary of compressive basis functions and separating, within the transformed previously acquired seismic data, a first portion and a second portion of the transformed previously acquired seismic data. Prediction and subtraction of multiple diffractions may also include predicting a plurality of multiple diffractions based on the separated first and second portions and adaptively subtracting the predicted multiple diffractions from the previously acquired seismic data. Prediction and subtraction of multiple diffractions may also include inverse transforming a particular seismic data set from the transformed domain to the time-space domain.

Abstract: Prediction and subtraction of multiple diffractions may include transforming previously acquired seismic data from a time-space domain to a transformed domain using a dictionary of compressive basis functions and separating, within the transformed previously acquired seismic data, a first portion and a second portion of the transformed previously acquired seismic data. Prediction and subtraction of multiple diffractions may also include predicting a plurality of multiple diffractions based on the separated first and second portions and adaptively subtracting the predicted multiple diffractions from the previously acquired seismic data. Prediction and subtraction of multiple diffractions may also include inverse transforming a particular seismic data set from the transformed domain to the time-space domain.

Abstract: A seismic noise mitigation method. The method comprises identifying a wavenumber of a component in a residual wavenumber spectrum having a largest norm based on a preconditioned residual wavenumber spectrum. A contribution to the residual wavenumber spectrum from the identified wavenumber component, is subtracted therefrom. A next residual wavenumber spectrum is based thereon and a relative residual computed based on that. The identifying, subtracting and calculating are repeated until a first to occur termination condition selected from the group consisting of: a current relative residual is less than a threshold residual; a difference between the current relative residual and a smallest relative residual exceeds product of the smallest relative residual and a preselected threshold factor; and a difference between a current number of iterations and a number of iterations corresponding to a currently encountered smallest relative residual encountered exceeds a preselected threshold number of iterations.

Abstract: Wavefield reconstruction may include reconstructing a wavefield at a location away from a seismic receiver based on seismic data sampled from the seismic receiver, a vector of model coefficients comprising a scattering potential, and at least one of a mapping matrix comprising a dictionary of Green's functions and an operator defined by a combination of a number of functions.

Abstract: A seismic noise mitigation method. The method comprises identifying a wavenumber of a component in a residual wavenumber spectrum having a largest norm based on a preconditioned residual wavenumber spectrum. A contribution to the residual wavenumber spectrum from the identified wavenumber component, is subtracted therefrom. A next residual wavenumber spectrum is based thereon and a relative residual computed based on that. The identifying, subtracting and calculating are repeated until a first to occur termination condition selected from the group consisting of: a current relative residual is less than a threshold residual; a difference between the current relative residual and a smallest relative residual exceeds product of the smallest relative residual and a preselected threshold factor; and a difference between a current number of iterations and a number of iterations corresponding to a currently encountered smallest relative residual encountered exceeds a preselected threshold number of iterations.

Abstract: A method and apparatus for predicting interbed multiples is described herein. Trace geometries may be generated for one or more desired shot-side traces, one or more desired receiver-side traces, and one or more desired interbed multiple generator traces, for a first target trace. A first set of reflections at the interbed multiple generator layer may be extracted from one or more recorded traces closest to the desired interbed multiple generator traces. A second set of reflections below the interbed multiple generator layer may be extracted from one or more recorded traces closest to the desired shot-side traces. A third set of reflections below the interbed multiple generator layer may be extracted from one or more recorded traces closest to the desired receiver-side traces. The interbed multiples for the first target trace may be estimated based on the first set, the second set, and the third set.

Abstract: Prediction and subtraction of multiple diffractions may include transforming previously acquired seismic data from a time-space domain to a transformed domain using a dictionary of compressive basis functions and separating, within the transformed previously acquired seismic data, a first portion and a second portion of the transformed previously acquired seismic data. Prediction and subtraction of multiple diffractions may also include predicting a plurality of multiple diffractions based on the separated first and second portions and adaptively subtracting the predicted multiple diffractions from the previously acquired seismic data. Prediction and subtraction of multiple diffractions may also include inverse transforming a particular seismic data set from the transformed domain to the time-space domain.

Abstract: A method and apparatus for predicting interbed multiples is described herein. Trace geometries may be generated for one or more desired shot-side traces, one or more desired receiver-side traces, and one or more desired interbed multiple generator traces, for a first target trace. A first set of reflections at the interbed multiple generator layer may be extracted from one or more recorded traces closest to the desired interbed multiple generator traces. A second set of reflections below the interbed multiple generator layer may be extracted from one or more recorded traces closest to the desired shot-side traces. A third set of reflections below the interbed multiple generator layer may be extracted from one or more recorded traces closest to the desired receiver-side traces. The interbed multiples for the first target trace may be estimated based on the first set, the second set, and the third set.

Abstract: A method and apparatus for predicting interbed multiples is described herein. Trace geometries may be generated for one or more desired shot-side traces, one or more desired receiver-side traces, and one or more desired interbed multiple generator traces, for a first target trace. A first set of reflections at the interbed multiple generator layer may be extracted from one or more recorded traces closest to the desired interbed multiple generator traces. A second set of reflections below the interbed multiple generator layer may be extracted from one or more recorded traces closest to the desired shot-side traces. A third set of reflections below the interbed multiple generator layer may be extracted from one or more recorded traces closest to the desired receiver-side traces. The interbed multiples for the first target trace may be estimated based on the first set, the second set, and the third set.

Abstract: A method and apparatus for predicting interbed multiples is described herein. Trace geometries may be generated for one or more desired shot-side traces, one or more desired receiver-side traces, and one or more desired interbed multiple generator traces, for a first target trace. A first set of reflections at the interbed multiple generator layer may be extracted from one or more recorded traces closest to the desired interbed multiple generator traces. A second set of reflections below the interbed multiple generator layer may be extracted from one or more recorded traces closest to the desired shot-side traces. A third set of reflections below the interbed multiple generator layer may be extracted from one or more recorded traces closest to the desired receiver-side traces. The interbed multiples for the first target trace may be estimated based on the first set, the second set, and the third set.