Application of non-linear flow laws in determining rock fissure geometry from single borehole pumping tests

Elsworth, D.; Doe, T.

doi:10.1016/0148-9062(86)90970-8

Cited by 36 publications

(17 citation statements)

References 2 publications

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“…The Thiem equation was originally developed for pumping tests using two observation wells, but is commonly used in a single hole context for hydraulic tests in fractured rock boreholes (e.g., Gale, 1982;Haimson and Doe, 1983;Elsworth and Doe, 1986;Lapcevic, 1988;Novakowski, 1988). The radius of influence (r o ) is not measured in the single hole method and therefore must be assumed.…”

Section: Procedures For Test Data Analysismentioning

confidence: 99%

Validation of non-Darcian flow effects in slug tests conducted in fractured rock boreholes

Quinn

Parker

Cherry

2013

Journal of Hydrology

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Section: Procedures For Test Data Analysismentioning

confidence: 99%

Validation of non-Darcian flow effects in slug tests conducted in fractured rock boreholes

Quinn

Parker

Cherry

2013

Journal of Hydrology

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“…The linear relationship between the flow rate and the pressure gradient comes from the diminishing the inertia effects (i.e., kinetic energy) that can only be anticipated for low flow rates. By increasing the flux, the pressure drop increases more than the proportional increases in the flux that is known as the nonlinear flow [ Elsworth and Doe , ; Jung , ; Wen et al ., ; Yeo and Ge , ]. The most classical approach for the mathematical description of the nonlinear flow through fractures is the use of the Forchheimer's law as [ Bear , ]

- \nabla p = \frac{μ}{k} {bold-italicu}_{x} + ρ \bar{β} {bold-italicu}_{x} true| {bold-italicu}_{x} true|,

- \nabla p = A Q + B Q^{2},

where

\overset{β}{true}

is called non‐Darcy coefficient or inertial resistance with dimension of L −1 , A and B are coefficients that describe energy losses due to viscous and inertial dissipation mechanisms, respectively [ Moutsopoulos , ].…”

Section: Theory and Backgroundmentioning

confidence: 99%

“…The linearity of Darcian flow comes from the diminishing the inertia effects (i.e., kinetic energy) that can only be anticipated for low flow rates. By increasing the flux, inertial terms cannot be neglected with regard to viscous forces and the pressure drop increases more than the proportional increases in the flux that is known as the nonlinear fluid flow [ Cooke , ; Elsworth and Doe , ; Holditch and Morse , ; Jung , ; Kohl et al ., ; Wen et al ., ; Yeo and Ge , ]. Flow regimes and nonlinear behavior of fluid flow through fractures have been investigated empirically [ Elsworth and Goodman , ; Lomize , ; Louis , ], experimentally [ Cherubini et al ., ; Cornwell and Murphy , ; Davies and White , ; Huitt , ; Ji et al ., ; Konzu and Kueper , ; Nowamooz et al ., ; Parrish , ; Qian et al ., ; Quinn et al ., ; Ranjith and Darlington , ; Ranjith and Viete , ; Zimmerman et al ., ], and numerically [ Bués et al ., ; Javadi et al ., ; Kolditz , ; Skjetne et al ., ].…”

Section: Introductionmentioning

confidence: 99%

Critical Reynolds number for nonlinear flow through rough-walled fractures: The role of shear processes

et al. 2014

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This paper experimentally investigates the role of shear processes on the variation of critical Reynolds number and nonlinear flow through rough-walled rock fractures. A quantitative criterion was developed to quantify the onset of nonlinear flow by comprehensive combination of Forchheimer's law and Reynolds number. At each shear displacement, several high-precision water flow tests were carried out with different hydraulic gradients then the critical Reynolds number was determined based on the developed criterion. The results show that (i) the Forchheimer's law was fitted very well to experimental results of nonlinear fluid flow through rough-walled fractures, (ii) the coefficients of viscous and inertial pressure drops experience 4 and 7 orders of magnitude reduction during shear displacement, respectively, and (iii) the critical Reynolds number varies from 0.001 to 25 and experiences 4 orders of magnitude enlargement by increasing shear displacement from 0 to 20 mm. These findings may prove useful in proper understanding of fluid flow through rock fractures, or inclusions in computational studies of large-scale nonlinear flow in fractured rocks.

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“…Here has relationship with the structure of fracture, and the character of mixture or water and sand. With the pressure drop increasing, the nonlinear flow became obvious (Elsworth and Doe 1986; Wen et al 2006; Yeo and Ge 2001) the Forchheimer’s law is well known classical approach to describe the nonlinear flow in fracture. Non-Darcy factor β is the parameter which reflected the deviation of Darcy of the seepage.…”

Section: Discussionmentioning

confidence: 99%

Influence of particle size on non-Darcy seepage of water and sediment in fractured rock

Liu

2016

SpringerPlus

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Surface water, groundwater and sand can flow into mine goaf through the fractured rock, which often leads to water inrush and quicksand movement. It is important to study the mechanical properties of water and sand in excavations sites under different conditions and the influencing factors of the water and sand seepage system. The viscosity of water–sand mixtures under different particle sizes, different concentration was tested based on the relationship between the shear strain rate and the surface viscosity. Using the self-designed seepage circuit, we tested permeability of water and sand in fractured rock. The results showed that (1) effective fluidity is in 10−8–10−5 mn+2 s2−n/kg, while the non-Darcy coefficient ranges from 105 to 108 m−1 with the change of particle size of sand; (2) effective fluidity decreases as the particle size of sand increased; (3) the non-Darcy coefficient ranges from 105 to 108 m−1 depending on particle size and showed contrary results. Moreover, the relationship between effective fluidity and the particle size of sand is fitted by the exponential function. The relationship between the non-Darcy coefficient and the particle size of sand is also fitted by the exponential function.

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Application of non-linear flow laws in determining rock fissure geometry from single borehole pumping tests

Cited by 36 publications

References 2 publications

Validation of non-Darcian flow effects in slug tests conducted in fractured rock boreholes

Validation of non-Darcian flow effects in slug tests conducted in fractured rock boreholes

Critical Reynolds number for nonlinear flow through rough-walled fractures: The role of shear processes

Influence of particle size on non-Darcy seepage of water and sediment in fractured rock

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