Estimation of flow properties using surface deformation and head data: A trajectory‐based approach

Vasco, D. W.

doi:10.1029/2004wr003272

Cited by 18 publications

(16 citation statements)

References 61 publications

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“…While it is possible to map the estimated pressure changes directly into flow properties Ferretti 2005), in this paper we use an alternative approach, based upon the idea of a pressure 'arrival time' (Vasco et al 2000b, Vasco 2004b. The primary advantage of this approach is that it is not sensitive to the mechanical properties within the reservoir.…”

Section: Discussionmentioning

confidence: 99%

“…This approach, which eliminates the need for ray-tracing, is discussed in more detail in Vasco and Finsterle (2004) and Vasco (2004b). It makes use of the fact that…”

Section: The Eikonal Equation Trajectories and The Arrival Time Of mentioning

confidence: 99%

“…In the applications below we assume that the overburden stress does not change significantly with time and thus the derivative in equation (13) vanishes. However, as shown in Vasco (2004b), it is possible to correct for the overburden pressure changes, allowing for the use of the point-source…”

Section: An Asymptotic Solution To the Diffusion Equationmentioning

confidence: 99%

“…Here we take an alternative approach, based upon the idea of a diffusive travel time associated with a propagating pressure transient (Vasco et al 2000b, Vasco 2004b.…”

Section: Introductionmentioning

confidence: 99%

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Estimating permeability from quasi-static deformation: Temporal variations and arrival-time inversion

2008

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Transient pressure variations within a reservoir can be treated as a propagating front and analyzed using an asymptotic formulation. From this perspective one can define a pressure 'arrival time' and formulate solutions along trajectories, in the manner of ray theory. We combine this methodology and a technique for mapping overburden deformation into reservoir volume change as a means to estimate reservoir flow properties, such as permeability. Given the entire 'travel time' or phase field, obtained from the deformation data, we can construct the trajectories directly, there-by linearizing the inverse problem. A numerical study indicates that, using this approach, we can infer large-scale variations in flow properties. In an application to Interferometric Synthetic Aperture (InSAR) observations associated with a CO 2 injection at the Krechba field, Algeria, we image pressure propagation to the northwest. An inversion for flow properties indicates a linear trend of high permeability.

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Section: Discussionmentioning

confidence: 99%

“…This approach, which eliminates the need for ray-tracing, is discussed in more detail in Vasco and Finsterle (2004) and Vasco (2004b). It makes use of the fact that…”

Section: The Eikonal Equation Trajectories and The Arrival Time Of mentioning

confidence: 99%

Section: An Asymptotic Solution To the Diffusion Equationmentioning

confidence: 99%

“…Here we take an alternative approach, based upon the idea of a diffusive travel time associated with a propagating pressure transient (Vasco et al 2000b, Vasco 2004b.…”

Section: Introductionmentioning

confidence: 99%

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Estimating permeability from quasi-static deformation: Temporal variations and arrival-time inversion

2008

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“…First, the time-varying deformation is used to estimate volume and pressure changes within the reservoir as a function of both space and time (Vasco et al 2001, Vasco et al 2008. Second, the time-varying volume and/or pressure changes determine 'arrival times' associated with a propagating fluid disturbance within the reservoir (Vasco et al 2000b, Vasco 2004, Vasco et al 2008. Finally, flow properties, in particular the effective permeabilities, are derived from the pressure 'arrival times'.…”

Section: Methodsmentioning

confidence: 99%

Reservoir monitoring and characterization using satellite geodetic data: Interferometric synthetic aperture radar observations from the Krechba field, Algeria

2008

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Deformation in the material overlying an active reservoir is used to monitor pressure change at depth. A sequence of pressure field estimates, eleven in all, allow us to construct a measure of diffusive travel time throughout the reservoir. The dense distribution of travel time values means that we can construct an exactly linear inverse problem for reservoir flow properties. Application to Interferometric Synthetic Aperture Radar (In-SAR) data gathered over a CO 2 injection in Algeria reveals pressure propagation along two northwest trending corridors. An inversion of the travel times indicates the existence of two northwest-trending high permeability zones. The high permeability features trend in the same direction as the regional fault and fracture zones. Model parameter resolution estimates indicate that the features are well resolved.

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Joint inversion in coupled quasi-static poroelasticity

Hesse

Stadler

2014

J. Geophys. Res. Solid Earth

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[1] Geodetic surveys now provide detailed time series maps of anthropogenic land subsidence and uplift due to injection and withdrawal of pore fluids from the subsurface. A coupled poroelastic model allows the integration of geodetic and hydraulic data in a joint inversion and has therefore the potential to improve the characterization of the subsurface and our ability to monitor pore pressure evolution. We formulate a Bayesian inverse problem to infer the lateral permeability variation in an aquifer from geodetic and hydraulic data and from prior information. We compute the maximum a posteriori (MAP) estimate of the posterior permeability distribution and a Gaussian approximation of the posterior. Computing the MAP estimate requires the solution of a large-scale minimization problem subject to the poroelastic equations, for which we propose an efficient Newton-conjugate gradient optimization algorithm. The covariance matrix of the Gaussian approximation of the posterior is given by the inverse Hessian of the log posterior, which we construct by exploiting low-rank properties of the data misfit Hessian. First and second derivatives are computed using adjoints of the time-dependent poroelastic equations, allowing us to fully exploit transient data. Using three increasingly complex model problems, we find the following general properties of poroelastic inversions: Augmenting standard hydraulic well data by surface deformation data improves the aquifer characterization. Surface deformation contributes the most in shallow aquifers but provides useful information even for the characterization of aquifers down to 1 km. In general, it is more difficult to infer high-permeability regions, and their characterization requires frequent measurement to resolve the associated short-response timescales. In horizontal aquifers, the vertical component of the surface deformation provides a smoothed image of the pressure distribution in the aquifer. Provided that the mechanical properties are known, coupled poroelastic inversion is therefore a promising approach to detect flow barriers and to monitor pore pressure evolution.

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Estimation of flow properties using surface deformation and head data: A trajectory‐based approach

Cited by 18 publications

References 61 publications

Estimating permeability from quasi-static deformation: Temporal variations and arrival-time inversion

Estimating permeability from quasi-static deformation: Temporal variations and arrival-time inversion

Reservoir monitoring and characterization using satellite geodetic data: Interferometric synthetic aperture radar observations from the Krechba field, Algeria

Joint inversion in coupled quasi-static poroelasticity

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