Mechanisms of tripartite permeability evolution for supercritical CO2 in propped shale fractures

Hou, Lei; Elsworth, Derek

doi:10.1016/j.fuel.2021.120188

Cited by 12 publications

(12 citation statements)

References 53 publications

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“…As a result, the first equation in (5) will be reduced to the Navier equation that is subject to the (exponentially decaying) poroelastodynamics radiation conditions (9) which implies that u = 0 in R 3 \ Γ. The second equation in (5) then reads p = 0 in R 3 \ Γ which completes the proof for the uniqueness of a scattering solution, and thus, substantiates the wellposedness of the forward problem.…”

Section: Acknowledgementsmentioning

confidence: 53%

“…Consequently, (15) reads that (u, p) = 0 in R 3 \Γ, which implies that (t, q ) = 0 on Γ according to (6). Then, the third to fifth of (5) indicate that ψ = 0, and thus the Lemma's claim follows.…”

Section: Appendix a Poroelastodynamics Fundamental Solutionmentioning

confidence: 88%

“…The excitation frequency ω = 3.91 is set such that the induced shear wavelength ) 0.3π 0.5π 0.46π 0.3π 0.5π 0.46π λ s in the specimen is approximately one, serving as a reference length scale. The incident waves interact with the hydraulic fracture network in each setup giving rise to the scattered field (u, p), governed by (5), whose pattern (u obs , p obs ) over the observation grid G is then computed. For both illumination and sensing purposes, G is sampled by a uniform grid of N excitation and observation points.…”

Section: Forward Scattering Simulationsmentioning

confidence: 99%

“…Optimal design and closed-loop control of such systems require real-time feedback on the nature of progressive variations in a target region [3,4]. 3D in-situ tracking of multiphasic developments however is exceptionally challenging [5,6]. Engineered treatments (such as fluid or gas injection) often occur in a complex background whose structure and hydro-mechanical properties are uncertain [7,8].…”

Section: Introductionmentioning

confidence: 99%

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Poroelastic near-field inverse scattering

Pourahmadian,

Napal

2021

Preprint

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A multiphysics data analytic platform is established for imaging poroelastic interfaces of finite permeability (e.g., hydraulic fractures) from elastic waveforms and/or acoustic pore pressure measurements. This is accomplished through recent advances in design of non-iterative sampling methods to inverse scattering. The direct problem is formulated via the Biot equations in the frequency domain where a network of discontinuities is illuminated by a set of total body forces and fluid volumetric sources, while monitoring the induced (acoustic and elastic) scattered waves in an arbitrary near-field configuration. A thin-layer approximation is deployed to capture the rough and multiphase nature of interfaces whose spatially varying hydro-mechanical properties are a priori unknown. In this setting, the well-posedness analysis of the forward problem yields the admissibility conditions for the contact parameters. In light of which, the poroelastic scattering operator and its first and second factorizations are introduced and their mathematical properties are carefully examined. It is shown that the non-selfadjoint nature of the Biot system leads to an intrinsically asymmetric factorization of the scattering operator which may be symmetrized at certain limits. These results furnish a robust framework for systematic design of regularized and convex cost functionals whose minimizers underpin the multiphysics imaging indicators. The proposed solution is synthetically implemented with application to spatiotemporal reconstruction of hydraulic fracture networks via deep-well measurements.

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Section: Acknowledgementsmentioning

confidence: 53%

Section: Appendix a Poroelastodynamics Fundamental Solutionmentioning

confidence: 88%

Section: Forward Scattering Simulationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Poroelastic near-field inverse scattering

Pourahmadian,

Napal

2021

Preprint

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“…(co-existence of released water and CO 2 ) may improve the permeability recovery (Bowers et al 2017, Weniger et al 2010, Gaus 2010. The contribution of inorganic adsorption to permeability evolution has an estimated fraction of 60-70% under supercritical condition (Hou and Elsworth 2021).…”

Section: The Dehydration Of Clay (Competitive Adsorption Between Co 2 and H 2 O) And Dissolution Of Carbonatementioning

confidence: 99%

Review of fundamental studies of CO2 fracturing: Fracture propagation, propping and permeating

Hou

Sheng

Elsworth

et al. 2021

Journal of Petroleum Science and Engineering

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