Forchheimer flow to a well-considering time-dependent critical radius

Wang, Q.; Zhan, Hongbin; Tang, Zhonghua

doi:10.5194/hess-18-2437-2014

Cited by 15 publications

(10 citation statements)

References 36 publications

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“… 24 Basak et al 25 presented the effect of non-linearity in the flow response on the discharge characteristics and pressure distribution of a non-penetrating well in a semi-infinite medium incorporating the Forchheimer equation. Wang et al 26 also performed similar studies. These models are all based on the Forchheimer equation.…”

Section: Introductionmentioning

confidence: 66%

A non-linear flow model for the flow behavior of water inrush induced by the karst collapse column

2018

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Section: Introductionmentioning

confidence: 66%

A non-linear flow model for the flow behavior of water inrush induced by the karst collapse column

2018

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“…To minimize numerical errors and to increase computational efficiency, we employ a non-uniform grid system for simulations (Wang et al, 2014), which is…”

Section: Numerical Solution Of the Swpp Testmentioning

confidence: 99%

Reactive transport with wellbore storages in a single-well push–pull test

Wang

Zhan

2019

Hydrol. Earth Syst. Sci.

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Abstract. Using the single-well push–pull (SWPP) test to determine the in situ biogeochemical reaction kinetics, a chase phase and a rest phase were recommended to increase the duration of reaction, besides the injection and extraction phases. In this study, we presented multi-species reactive models of the four-phase SWPP test considering the wellbore storages for both groundwater flow and solute transport and a finite aquifer hydraulic diffusivity, which were ignored in previous studies. The models of the wellbore storage for solute transport were proposed based on the mass balance, and the sensitivity analysis and uniqueness analysis were employed to investigate the assumptions used in previous studies on the parameter estimation. The results showed that ignoring it might produce great errors in the SWPP test. In the injection and chase phases, the influence of the wellbore storage increased with the decreasing aquifer hydraulic diffusivity. The peak values of the breakthrough curves (BTCs) increased with the increasing aquifer hydraulic diffusivity in the extraction phase, and the arrival time of the peak value became shorter with a greater aquifer hydraulic diffusivity. Meanwhile, the Robin condition performed well at the rest phase only when the chase concentration was zero and the solute in the injection phase was completely flushed out of the borehole into the aquifer. The Danckwerts condition was better than the Robin condition even when the chase concentration was not zero. The reaction parameters could be determined by directly best fitting the observed data when the nonlinear reactions were described by piece-wise linear functions, while such an approach might not work if one attempted to use nonlinear functions to describe such nonlinear reactions. The field application demonstrated that the new model of this study performed well in interpreting BTCs of a SWPP test.

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“…According to statistical evidence [2], 90% of the failures of rock slopes are related to groundwater seepage, and 60% of mine accidents are correlated with groundwater action. Previous research shows that these factors (including: rock type, microcrack development, pore connectivity, load regime (stress path), stress state, and porosity) can affect the permeability [3][4][5][6][7][8][9][10], while the specific influence and mechanism underpinning such behaviors remain unclear.…”

Section: Introductionmentioning

confidence: 99%

Experimental Research into the Evolution of Permeability of Sandstone under Triaxial Compression

Zhang

Jiang

2020

Energies

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Failure tests on sandstone specimens were conducted under different confining pressures and seepage pressures by using an MTS triaxial rock testing machine to elucidate the corresponding correlations of permeability and characteristic stress with confining pressure and pore pressure during deformation. The results indicate that permeability first decreases and presents two trends, i.e., a V-shaped increase and an S-shaped trend during the non-linear deformation stage. The greater the seepage pressure, the greater the initial permeability and the more obvious the V-shaped trend in the permeability. As the confining pressure was increased, the trend in the permeability gradually changed from V- to S-shaped. Compared with the case at a high confining pressure, the decrease of permeability occurred more quickly, the rate of change becomes greater, and the sudden increase observed in the permeability happened earlier under lower confining pressures. Within the range tested, confining pressure exerted a greater effect on the permeability than the seepage pressure. In comparison with the axial strain, volumetric strain better reflected changes in permeability during compaction and dilation of sandstone. The ratio of crack initiation stress to peak strength ranged from 0.37 to 0.50, while the ratio of dilation stress to peak strength changed from 0.58 to 0.72. Permeabilities calculated based on Darcy and non-Darcy flow changed within the same interval, while the change in permeability was different.

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Forchheimer flow to a well-considering time-dependent critical radius

Cited by 15 publications

References 36 publications

A non-linear flow model for the flow behavior of water inrush induced by the karst collapse column

A non-linear flow model for the flow behavior of water inrush induced by the karst collapse column

Reactive transport with wellbore storages in a single-well push–pull test

Experimental Research into the Evolution of Permeability of Sandstone under Triaxial Compression

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