2009
DOI: 10.1111/j.1365-246x.2009.04373.x
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Microseismic signatures of non-linear pore-fluid pressure diffusion

Abstract: S U M M A R YMost fractured porous rocks show a strong dependence of their fluid transport properties on the effective pressure and thus on the pore-fluid pressure. We investigate the case where the hydraulic transport properties are exponentially dependent on pore-fluid pressure. As a consequence, the process of pore-fluid pressure diffusion is governed by a non-linear diffusion equation. Solutions of this equation that describe fluid injection experiments are analysed and the associated microseismic signatur… Show more

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Cited by 30 publications
(27 citation statements)
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“…The magnitudes are then randomly drawn from a power‐law distribution with the assigned b ‐value for each failure occurrence. Using a linear diffusion model with homogeneous and isotropic hydraulic diffusivity is a strong simplification for two reasons: (i) the opening of fractures potentially modifies the diffusivity, creating non‐linearity [ Hummel and Müller , 2009] and (ii) actual pore‐pressure propagation can be highly anisotropic, occurring preferentially along zones of weakness [ Evans et al , 2005]. However, the model serves as a first‐order approximation and can explain some features of the observed seismicity well [ Goertz‐Allmann et al , 2011].…”
Section: Geomechanical Modelmentioning
confidence: 99%
“…The magnitudes are then randomly drawn from a power‐law distribution with the assigned b ‐value for each failure occurrence. Using a linear diffusion model with homogeneous and isotropic hydraulic diffusivity is a strong simplification for two reasons: (i) the opening of fractures potentially modifies the diffusivity, creating non‐linearity [ Hummel and Müller , 2009] and (ii) actual pore‐pressure propagation can be highly anisotropic, occurring preferentially along zones of weakness [ Evans et al , 2005]. However, the model serves as a first‐order approximation and can explain some features of the observed seismicity well [ Goertz‐Allmann et al , 2011].…”
Section: Geomechanical Modelmentioning
confidence: 99%
“…During the Ebreichsdorf 2013 sequence, inter-event distances of few hundred meters to one kilometer and inter-event periods of hours to days would be compatible with an ave-2 rage hydraulic diffusivity of about 1-10 m /s This would correspond to a highly permeable material (Roeloffs et al, 2003;Manga and Wang, 2007) and is few orders of magnitudes higher than values of hydraulic diffusivities found for fault -2 -7 2 gouges (10 -10 m /s; Wibberley, 2002;Doan et al, 2006). Fluid overpressure at depth could also be the cause of this high diffusivity, due to the non-linear relationship between pore pressure and hydraulic diffusivity (Miller et al, 2004;Hummel and Müller, 2009). If pore pressure diffusion is the driving mechanisms of this sequence, it could explain the position of the aftershocks above the main shocks with the propagation of fluids toward the surface.…”
Section: Discussionmentioning
confidence: 86%
“…As a consequence of the coupling between pressure, fracture compliance and permanent fracture aperture changes, the pressure field does not propagate through the reservoir as a linear diffusive field, but rather as a pressure front (Murphy et al, 2004). The fracture normal and shear dilation that occurs in response to elevated fluid pressure thus has a major influence on the magnitude and profile of the propagating pressure perturbation in the rock mass during hydraulic stimulations (Evans et al, 1999;Hummel and Müller, 2009). As a consequence, fracture compliance and normal or shear dilation characteristics have an impact on the size and geometry of the reservoir created during hydraulic stimulation.…”
Section: Stimulation By Hydraulic Shearingmentioning
confidence: 99%