In seismic reflectivity inversion, lateral coherency of the retrieved reflectivity profile may be deteriorated since the deconvolution problem is solved on a trace-by-trace basis. To gain desired results with good lateral continuity, we incorporate the FX prediction filter into the process of reflectivity inversion. To be specific, first the reflectivity is obtained using the basis pursuit (BP) method, and then the FX filtering is applied to calculated reflectivity series. The filtered result is used as the initial model to re-start the BP process. This loop is repeated until a satisfactory result is obtained. The validity and feasibility of the proposed method are verified by both synthetic and field data, illustrating cleaner and more continuous reflectivity profiles. Moreover, this result will also bring benefits for obtaining high quality impedance images because of improved reflectivity series.


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