# Generalized linear sampling method for elastic-wave sensing of heterogeneous fractures

@article{Pourahmadian2017GeneralizedLS, title={Generalized linear sampling method for elastic-wave sensing of heterogeneous fractures}, author={Fatemeh Pourahmadian and Bojan B. Guzina and Houssem Haddar}, journal={Inverse Problems}, year={2017}, volume={33}, pages={055007} }

A theoretical foundation is developed for active seismic reconstruction of fractures endowed with spatially-varying interfacial condition (e.g. partially-closed fractures, hydraulic fractures). The proposed indicator functional carries a superior localization property with no significant sensitivity to the fracture's contact condition, measurement errors, and illumination frequency. This is accomplished through the paradigm of the F-factorization technique and the recently developed Generalized…

## 21 Citations

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## References

SHOWING 1-10 OF 42 REFERENCES

Inverse scattering solution for the spatially heterogeneous compliance of a single fracture

- Geology
- 2013

Characterizing the spatially heterogeneous fracture compliance through use of elastic waves has the potential to illuminate the hydraulic and mechanical properties along a fracture. We formulate the…

Seismic characterization of fractured reservoirs by focusing Gaussian beams

- Geology
- 2013

ABSTRACTNaturally fractured reservoirs occur worldwide, and they account for the bulk of global oil production. The most important impact of fractures is their influence on fluid flow. To maximize…

Reservoir fracture characterization from seismic scattered waves

- Geology
- 2014

The measurements of fracture parameters, such as fracture orientation, fracture density and fracture compliance, in a reservoir is very important for field development and exploration. Traditional…

Application of the linear sampling method to identify cracks with impedance boundary conditions

- Mathematics
- 2013

We use the linear sampling method (LSM) to identify a crack with impedance boundary conditions from far-field measurements at a fixed frequency. This article extends the work of Cakoni–Colton [F.…

Topological derivative for the inverse scattering of elastic waves

- Mathematics
- 2004

To establish an alternative analytical framework for the elastic-wave imaging of underground cavities, the focus of this study is an extension of the concept of topological derivative, rooted in…

Spatial Orientation And Distribution Of Reservoir Fractures From Scattered Seismic Energy

- Geology
- 2006

Wepresentthedetailsofanewmethodfordeterminingthereflection and scattering characteristics of seismic energy from subsurface fractured formations. The method is based upon observations we have made…