Modelling Geomechanical Impact of CO2 Injection and Migration Using Precomputed Response Functions

Andersen, Odd; Nilsen, Halvor Møll; Gasda, Sarah E.

doi:10.3997/2214-4609.201601760

Cited by 5 publications

(3 citation statements)

References 34 publications

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“…2 (doi.org/10.1016/j.gete.2018.03.002) means of the fixed-stress split, which assures that a sequential solution of the two equations is unconditionally stable [19,20]. Another approach is developed by Andersen et al [3,2] by using precomputed response functions. A problem related to uplift by fluid injection is subsidence caused by fluid production.…”

Section: Introductionmentioning

confidence: 99%

An analytical plane-strain solution for surface uplift due to pressurized reservoirs

Wangen

Halvorsen

Gasda

et al. 2018

Geomechanics for Energy and the Environment

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In this paper, we present an analytical plane strain solution for surface uplift above pressurized reservoirs. The solution is based on a Fourier representation of the reservoir pressure. The plane strain model is developed in two stages: First, an exact solution is derived for the displacement field for the reservoir alone subjected to a periodic overpressure distribution of one wavelength. This one-layer model forms the basis for the analytical plane strain solution for a two-layer model-a pressurized reservoir with an overburden. We give an example where numerically computed uplift is quite accurately estimated by a simple 1D estimate, except for in the near well area. The plane-strain solution is well suited to study conditions for when the simple 1D approximation of the uplift is accurate. A condition for the accuracy of the simple 1D approximation is first derived for just the reservoir expanded by a periodic overpressure distribution of one wavelength, which corresponds to one term in a Fourier series. The 1D estimate is accurate for wavelengths larger than 2π times the reservoir thickness. Then, a condition is derived for when the 1D estimate is accurate for the two-layer model. We show that the wavelength of the overpressure distribution must be larger than 2π times the maximum of the reservoir thickness and the overburden thickness for the 1D approximation to be accurate. We demonstrate how uplift is computed from a Fourier decomposition of the reservoir overpressure. The resulting uplift is analysed in terms of Fourier coefficients, using the knowledge of how a single wavelength behaves. The analytical results for the displacement field and the uplift are tested by comparison with finite element simulations, and the match is excellent.

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Section: Introductionmentioning

confidence: 99%

An analytical plane-strain solution for surface uplift due to pressurized reservoirs

Wangen

Halvorsen

Gasda

et al. 2018

Geomechanics for Energy and the Environment

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show abstract

“…It means that a scalar approximation of the stabilization term, as given in (51) and also in [3], will not be enough. This problem was noticed in [2], and the exact stabilization term corresponding to finite element was used there to study a poro-elastic response function in the 3D case.…”

Section: A Two-dimensional Compaction Casementioning

confidence: 99%

Virtual element method for geomechanical simulations of reservoir models

2017

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In this paper we study the use of Virtual Element Method (VEM) for geomechanics. Our emphasis is on applications to reservoir simulations. The physical processes behind the formation of the reservoirs, such as sedimentation, erosion and faulting, lead to complex geometrical structures. A minimal representation, with respect to the physical parameters of the system, then naturally leads to general polyhedral grids. Numerical methods which can directly handle this representation will be highly favorable, in particular in the setting of advanced work-flows. The virtual element method is a promising candidate to solve the linear elasticity equations on such models. In this paper, we investigate some of the limits of the VEM method when used on reservoir models. First, we demonstrate that care must be taken to make the method robust for highly elongated cells, which is common in these applications, and show the importance of calculating forces in terms of traction on the boundary of the elements for elongated distorted cells. Second, we study the effect of triangulations on the surfaces of curved faces, which also naturally occur in subsurface models. We also demonstrate how a more stable stabilization term for reservoir application can be derived.

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“…It means that a scalar approximation of the stabilization term, as given in (50) and also in [5], will not be enough. This problem was noticed in [2], and the exact stabilization term corresponding to finite element was used there to study a poro-elastic response function in the 3D case.…”

Section: 1mentioning

confidence: 99%

Virtual Element Method for geomechanics on reservoir grids

Andersen,

Nilsen,

Raynaud

2016

Preprint

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Modelling Geomechanical Impact of CO2 Injection and Migration Using Precomputed Response Functions

Cited by 5 publications

References 34 publications

An analytical plane-strain solution for surface uplift due to pressurized reservoirs

An analytical plane-strain solution for surface uplift due to pressurized reservoirs

Virtual element method for geomechanical simulations of reservoir models

Virtual Element Method for geomechanics on reservoir grids

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