Patent ID: 8880348

Claim:
A method for imaging a formation penetrated by a borehole, the method comprising: obtaining acoustic data in a depth-time domain using an acoustic downhole tool disposed at a depth in the borehole, the acoustic downhole tool comprising an acoustic source and an acoustic receiver; transforming, by a processor, the acoustic data having waveform w(z,t) where z is a depth of the acoustic receiver and t is time in the depth-time domain into a Radon domain {tilde over (w)}(p,τ) that is a function of p and tau (τ) using a Radon transform where {tilde over (w)}(p,τ)=∫w(z,τ+pz)dz; filtering, by a processor, the acoustic data in the Radon domain to increase a signal of interest in the acoustic data in the Radon domain by removing unwanted signals in the Radon domain; determining, by a processor, a location of a point in the formation that reflected acoustic energy emitted from the acoustic source to the acoustic receiver, the location of the point being represented in the Radon domain; and inverting, by a processor, the location of the point represented in the Radon domain into a radius-depth, r-z, domain to image the formation, the depth being a distance into the borehole and the radius being a radial distance from the borehole.