2018
DOI: 10.1007/s10596-018-9746-4
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A general method for simulating reactive dissolution in carbonate rocks with arbitrary geometry

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Cited by 8 publications
(13 citation statements)
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“…A relatively large number of numerical simulations of the dissolution process have been performed over the years [6,12,13,[27][28][29], in various setups and geometries. For the present study, the most relevant are the studies in radial geometry [13,18,19,30]. Most of these studies, however, are performed for relatively large heterogeneities of the medium, which makes it harder to observe the initial wavelengths of the instability (for the discussion of the interplay of heterogeneities in the initial conditions and instability mechanism, see Ref.…”
Section: Comparison With Numerical Simulationsmentioning
confidence: 99%
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“…A relatively large number of numerical simulations of the dissolution process have been performed over the years [6,12,13,[27][28][29], in various setups and geometries. For the present study, the most relevant are the studies in radial geometry [13,18,19,30]. Most of these studies, however, are performed for relatively large heterogeneities of the medium, which makes it harder to observe the initial wavelengths of the instability (for the discussion of the interplay of heterogeneities in the initial conditions and instability mechanism, see Ref.…”
Section: Comparison With Numerical Simulationsmentioning
confidence: 99%
“…In their derivation, Chadam et al have considered rectangular geometry with a pressure gradient applied along the length of the system. However, in many cases (e.g., in the acidization of oil reservoirs) the reactive fluids are injected through a well and thus the relevant geometry is radial rather than rectangular [3,13,[16][17][18][19][20]. Motivated by this, here we carry out the linear stability analysis of the reactive-infiltration problem in radial geometry, with the fluid injection at the center of the system.…”
Section: Introductionmentioning
confidence: 99%
“…All the values remain fixed unless otherwise stated. Because the effect of injection rate, acid properties and rock heterogeneous on dissolution patterns and breakthrough volume has been studied in detail in previous literature [6,27,32,44,[50][51][52][53][54], it will not be repeated here. This work only focuses on the influence of non-Darcy flow on the dissolution structure and breakthrough volume.…”
Section: Results and Analysismentioning
confidence: 99%
“…The governing equations are discretized using the finite volume method [32]. In order to avoid the instability issues, the model is solved implicitly in time, i.e.…”
Section: Dimensionless Modelmentioning
confidence: 99%
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