Shallow water multiple attenuation through the reconstruction of Green's impulse response

Removal of water‐layer‐related multiples in shallow water remains a challenge due to a lack of near‐offset data. We have developed a shallow water multiple attenuation approach by constructing the impulse response of the water bottom for the removal of water‐layer‐related multiples. The impulse response of the seafloor is formed by the convolution of its traveltime response and amplitude response. It uses the superposition of the original shallow water demultiple operator to obtain traveltime information and uses the deconvolution method to estimate its dynamic components from the original shallow water demultiple operator to build new operators. The impulse response can be correctly constructed not only for near offsets but for moderate and far offsets as well. A three‐term subtraction strategy by predicting source‐side, receiver‐side and both source‐side and receiver‐side multiples is adopted in our approach for attenuating shallow multiples without over‐prediction. Numerical examples with two synthetic datasets and 2D and 3D field datasets demonstrate that our approach gives a desirable performance.