# Poroelastic model to relate seismic wave attenuation and dispersion to permeability anisotropy

## Abstract

A transversely isotropic model with a horizontal axis of symmetry, based on the Biot and squirt-flow mechanisms, predicts seismic waves in poroelastic media. The model estimates velocity dispersion and attenuation of waves propagating in the frequency range of crosswell and high-resolution reverse vertical seismic profiling (VSP) (250--1,250 HZ) for vertical permeability value much greater than horizontal permeability parameters. The model assumes the principal axes of the stiffness constant tensor are aligned with the axes of the permeability and squirt-flow tensors. In addition, the unified Biot and squirt-flow mechanism (BISQ) model is adapted to simulate cracks in permeable media. Under these conditions, the model simulations demonstrate that the preferential direction of fluid flow in a reservoir containing fluid-filled cracks can be determined by analyzing the phase velocity and attenuation of seismic waves propagating at different azimuth and incident angles. As a result, the fast compressional wave can be related to permeability anisotropy in a reservoir. The model results demonstrate that for fast quasi-P-wave propagating perpendicular to fluid-filled cracks, the attenuation is greater than when the wave propagates parallel to the plane of the crack. Theoretical predictions and velocity dispersion of interwell seismic waves in the Kankakee Limestone Formation at the Buckhornmore »

- Authors:

- Publication Date:

- Research Org.:
- Southwest Research Inst., San Antonio, TX (US)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 20015462

- DOE Contract Number:
- AC22-94PC91008

- Resource Type:
- Journal Article

- Journal Name:
- Geophysics

- Additional Journal Information:
- Journal Volume: 65; Journal Issue: 1; Other Information: PBD: Jan-Feb 2000; Journal ID: ISSN 0016-8033

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 02 PETROLEUM; SEISMIC SURVEYS; MATHEMATICAL MODELS; SEISMIC P WAVES; WAVE PROPAGATION; PERMEABILITY; RESERVOIR ROCK; ATTENUATION; FRACTURED RESERVOIRS; GEOLOGIC FRACTURES; SEISMIC DETECTION

### Citation Formats

```
Parra, J O.
```*Poroelastic model to relate seismic wave attenuation and dispersion to permeability anisotropy*. United States: N. p., 2000.
Web. doi:10.1190/1.1444711.

```
Parra, J O.
```*Poroelastic model to relate seismic wave attenuation and dispersion to permeability anisotropy*. United States. https://doi.org/10.1190/1.1444711

```
Parra, J O. Tue .
"Poroelastic model to relate seismic wave attenuation and dispersion to permeability anisotropy". United States. https://doi.org/10.1190/1.1444711.
```

```
@article{osti_20015462,
```

title = {Poroelastic model to relate seismic wave attenuation and dispersion to permeability anisotropy},

author = {Parra, J O},

abstractNote = {A transversely isotropic model with a horizontal axis of symmetry, based on the Biot and squirt-flow mechanisms, predicts seismic waves in poroelastic media. The model estimates velocity dispersion and attenuation of waves propagating in the frequency range of crosswell and high-resolution reverse vertical seismic profiling (VSP) (250--1,250 HZ) for vertical permeability value much greater than horizontal permeability parameters. The model assumes the principal axes of the stiffness constant tensor are aligned with the axes of the permeability and squirt-flow tensors. In addition, the unified Biot and squirt-flow mechanism (BISQ) model is adapted to simulate cracks in permeable media. Under these conditions, the model simulations demonstrate that the preferential direction of fluid flow in a reservoir containing fluid-filled cracks can be determined by analyzing the phase velocity and attenuation of seismic waves propagating at different azimuth and incident angles. As a result, the fast compressional wave can be related to permeability anisotropy in a reservoir. The model results demonstrate that for fast quasi-P-wave propagating perpendicular to fluid-filled cracks, the attenuation is greater than when the wave propagates parallel to the plane of the crack. Theoretical predictions and velocity dispersion of interwell seismic waves in the Kankakee Limestone Formation at the Buckhorn test site (Illinois) demonstrate that the permeable rock matrix surrounding a low-velocity heterogeneity contains vertical cracks.},

doi = {10.1190/1.1444711},

url = {https://www.osti.gov/biblio/20015462},
journal = {Geophysics},

issn = {0016-8033},

number = 1,

volume = 65,

place = {United States},

year = {2000},

month = {2}

}