Method of avoiding aliasing in slant stacking of seismic data

Claim 1

The method of transforming seismic data traces recorded in x-t space to τ-p space comprising the steps of: selecting an initial summing angle p; identifying frequency components of said input data liable to be aliased with respect to a given angle p, said frequency components of said data liable to be aliased are identified by the equation f=[2g|p-(x/tv.sup.2)|].sup.-1 f is frequency component of the data liable to be aliased, p is the summing angle, g is the trace spacing, x is the source to receive distance at which the seismic data is taken, t is time measured from the input of seismic energy to the earth, and v is velocity of the seismic energy through the earth; filtering said frequency components liable to be aliased prior to summation to generate points for said p trace; summing individual elements of seismic traces in x-t space, said elements of said traces lying along a line making the angle p with respect to the horizontal to generate points on said p traces which together make up a τ-p transform; repeating said steps with respect to differing angles p; and plotting said p traces to generate a τ-p representation of said data.

Claim 2

The method of transforming seismic data traces recorded in x-t space to τ-p space comprising the steps of: selecting an initial summing angle p; identifying frequency components of said input data liable to be aliased with respect to a given angle p, said frequency components of said data liable to be aliased are identified by the equation f=[2g|p-(x/tv.sup.2)|].sup.-1 f is frequency component of the data liable to be aliased, p is the summing angle, g is the trace spacing, x is the source to receive distance at which the seismic data is taken, t is time measured from the input of seismic energy to the earth, and v is velocity of the seismic energy through the earth; filtering said frequency components liable to be aliased prior to summation to generate points for said p trace; summing individual elements of seismic traces in x-t space, said elements of said traces lying along a line making the angle p with respect to the horizontal to generate points on said p traces which together make up a τ-p transform; repeating said steps with respect to differing angles p; and plotting said p traces to generate a τ-p representation of said data.

Claim 3

A method of avoiding aliasing in transformation of seismic data in x-t space to a representation thereof in τ-p space wherein said transformation involves a correlative summing step, comprising the steps of: identifying frequency components of the input data likely to be aliased in such transformation; said identification of frequency components of the data which are liable to be aliased in transformation is performed according to the equation f=[2G|p-(X/tv.sup.2)|].sup.-1 wherein f is the frequency component of the data liable to be aliased, p is the summing angle, G is the trace spacing, X is the source-to-receiver distance with respect to which the seismic data was recorded, t is time measured from the input of seismic energy to the earth, and v is velocity of the seismic energy through the earth; and filtering such frequency component from the data prior to transformation thereof.

Claim 4

A method of avoiding aliasing in transformation of seismic data in x-t space to a representation thereof in τ-p space wherein said transformation involves a correlative summing step, comprising the steps of: identifying frequency components of the input data likely to be aliased in such transformation; said identification of frequency components of the data which are liable to be aliased in transformation is performed according to the equation f=[2G|p-(X/tv.sup.2)|].sup.-1 wherein f is the frequency component of the data liable to be aliased, p is the summing angle, G is the trace spacing, X is the source-to-receiver distance with respect to which the seismic data was recorded, t is time measured from the input of seismic energy to the earth, and v is velocity of the seismic energy through the earth; and filtering such frequency component from the data prior to transformation thereof.