Systems and methods for multi-volume directional de-noising

A method for performing directional de-noising on seismic data recorded by seismic receivers, the method comprising:

• receiving a seismic dataset, wherein the seismic dataset includes a model dataset and an input dataset to filter;
• decomposing the model dataset into a plurality of model directions;
• identifying which of the model directions to keep;
• and
• mapping the input dataset along the identified model directions resulting in a filtered output.

A method for performing directional de-noising on seismic data recorded by seismic receivers, the method comprising:

• receiving a seismic dataset, wherein the seismic dataset includes a model dataset and an input dataset to filter;
• merging the model dataset and the input dataset into a single dataset;
• mapping each frequency slice into a Hankel matrix of Hankel matrices;
• reducing the rank of the Hankel matrix;
• recovering the structure of a Hankel matrix;
• extracting the filtered frequency slice;
• and
• separating the input dataset from the model dataset resulting in a filtered output.

A computer device for performing directional de-noising on seismic data recorded by seismic receivers, the device comprising:

• the computer device configured to receive a seismic dataset, wherein the seismic dataset includes a model dataset and an input dataset to filter;
• a processor configured to decompose the model dataset into a plurality of model directions;
• the processor configured to identify which of the model directions to keep;
• and
• the processor configured to map the input dataset along the identified model directions resulting in a filtered output.