Method for eliminating spectral constraints of acquisition system and earth filtering effects

A system for mapping the earth's geology, comprising:

• means for representing recorded seismic data as a convolution of time-dependent operators representing a reflectivity series of the earth and a seismic wavelet;
• means for representing the operator representing the seismic wavelet as a convolution of operators representing a receiver ghost, a source ghost, a ghost-free source response, an earth filter response, and a receiver system response;
• means for removing the operator representing the receiver ghost from the convolution representing the seismic wavelet;
• means for removing the operator representing the source ghost from the convolution representing the seismic wavelet;
• means for removing the operator representing the ghost-free source response from the convolution representing the seismic wavelet;
• means for removing the operator representing the earth filter response from the convolution representing the seismic wavelet;
• and
• means for removing the operator representing the seismic wavelet from the convolution representing the recorded seismic data.

At least one non-transitory computer readable medium with a computer program stored thereon, the program having logic operable to cause at least one programmable computer to perform a method comprising:

• representing recorded seismic data as a convolution of time-dependent operators representing a reflectivity series of the earth and a seismic wavelet;
• representing the operator representing the seismic wavelet as a convolution of operators representing a receiver ghost, a source ghost, a ghost-free source response, an earth filter response, and a receiver system response;
• removing the operator representing the receiver ghost from the convolution representing the seismic wavelet;
• removing the operator representing the source ghost from the convolution representing the seismic wavelet;
• removing the operator representing the ghost-free source response from the convolution representing the seismic wavelet;
• removing the operator representing the earth filter response from the convolution representing the seismic wavelet;
• and
• the operator representing the seismic wavelet is removed from the convolution representing the recorded seismic data.