Extracting heterogeneous compliance of a single fracture from seismic scattering coupled with perturbation theory

Extracting heterogeneous compliance of a single fracture from seismic scattering coupled with perturbation theory

Minato, S.
Ghose, R.

Civil Engineering and Geosciences

Geoscience & Engineering

2013-06-10

We have presented a new methodology to model the scattered wavefield due to a heterogeneous distribution of compliance along a single fracture and then to invert this compliance distribution or its power spectral density (PSD) from the scattered seismic response. We illustrate the validity through numerical examples using Gaussian PSD. First, we show that the perturbation theory offers very close result to that obtained from exact relation (wdSDD approach), by consi ering only the first 3 orders of perturbation. By solving the inverse scattering problem we can estimate the heterogeneous compliance distribution quite accurately. Next, in order to estimate the PSD of the heterogeneous compliance distribution, the normalized power of the stress field is used. We use the result from the wdSDD approach to represent the observed data. We show the possibility of successful extraction of the correct PSD by curve-fitting. The techniques presented here can lead to a conceptually new and accurate approach for estimating heterogeneous compliance distribution and the corresponding spatial variation in roughness and aperture along the fracture plane. This may, in turn, be related to the crucial fluid flow properties in the fractured subsurface.

http://resolver.tudelft.nl/uuid:9d8a48ba-f1f0-4537-be84-1953c7f8f3be

EAGE

75th EAGE Conference & Exhibition incorporating SPE EUROPEC 2013, London, UK, 10-13 June 2013

Institutional Repository

conference paper

(c) 2013 Minato, S., Ghose, R.