Semi-analytical solution to pumping test data with barrier, wellbore storage, and partial penetration effects

Wu, Ya‐Fen; Shen, Shui‐Long; Cheng, Wen-Chieh; Hino, Takenori

doi:10.1016/j.enggeo.2017.05.011

Cited by 97 publications

(33 citation statements)

References 39 publications

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“…According to Bear, the equation for permeability can be written as

K = \frac{kη}{ρg},

where K is permeability of porous media or fractured media (μm 2 ), ρ is fluid density (g/cm 3 ), g is gravitational acceleration (m/s 2 ), k is hydraulic conductivity (m/s), and η is dynamic viscosity of fluid (Pa·s). Bear stated that the permeability is an intrinsic property of porous media or fracture media, which is not affected by fluid categories . In other words, the permeability is constant no matter the fluid is water or foam.…”

Section: Formulationmentioning

confidence: 99%

Evaluation of foam conditioning effect on groundwater inflow at tunnel cutting face

Liu

Shen

Zhou

et al. 2018

Num Anal Meth Geomechanics

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Summary This paper presents an analytical evaluation on the influence of foam conditioning on groundwater inflow at shield tunnel cutting face by the force‐equilibrium principle. Three key variables are highlighted, namely, the maximum foam infiltration distance, the critical infiltration distance, and the hydraulic conductivity of foam‐conditioned soil or rock fissure. To capture the variation of water level induced by foam injection, a dynamic water‐level equation is considered in the force‐equilibrium principle. The proposed analytical equations are employed to analyze a water inflow case during shield tunneling in a weathered mylonite fault. The results indicate that the hydraulic conductivity of foam‐conditioned mylonite and the infiltration distance decrease with an increase of shear stress of foam fluid. A three‐dimensional finite element model is employed to validate the analytical solutions. The comparison between the observed and calculated results confirms that the proposed method can predict groundwater inflow in foam‐conditioned soils.

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“…According to Bear, the equation for permeability can be written as

K = \frac{kη}{ρg},

Section: Formulationmentioning

confidence: 99%

Evaluation of foam conditioning effect on groundwater inflow at tunnel cutting face

Liu

Shen

Zhou

et al. 2018

Num Anal Meth Geomechanics

Self Cite

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“…During GSHP operation, particles in the recharge water (e.g., fine sand, colloidal particles, metallic oxides, bacteria, and biofilm) can deposit in the ground and even block the confined aquifer after long‐term recharge. This phenomenon has been highlighted by numerous studies (Alaica & Dworkin, ; Luo et al, ; Park, Kim, & Lee, ; S. L. Shen, Wu, Xu, Hino, & Wu, ; Wu, Shen, Cheng, & Hino, ). To understand this phenomenon, the kinetic characteristics of particles in porous medium under variable temperatures should be explored.…”

Section: Introductionmentioning

confidence: 99%

“…This phenomenon has been highlighted by numerous studies (Alaica & Dworkin, 2017;Luo et al, 2015;Park, Kim, & Lee, 2015;S. L. Shen, Wu, Xu, Hino, & Wu, 2015;Wu, Shen, Cheng, & Hino, 2017). To understand this phenomenon, the kinetic characteristics of particles in porous medium under variable temperatures should be explored.…”

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confidence: 99%

Experimental investigation of suspended particles transport in porous medium under variable temperatures

Cui

Fan

Wang

et al. 2019

Hydrological Processes

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This paper presents a study on suspended particle transport in porous medium with the aid of a sand layer transportation–deposition testing system to determine the kinetic characteristics of particles in porous medium under variable temperatures. Quartz sand and quartz powder were chosen as the porous medium and particle in the tests, respectively. Four size compositions and two operational modes, that is, temperature reduction mode (changing from 18°C to 5°C) and temperature increment mode (changing from 18°C to 35°C), were adopted. The turbidity and concentration of quartz powder were measured under various conditions. We observed a high temperature‐independent correlation between them. Breakthrough curves under different conditions were analysed using this testing system. The results showed that changes in temperature affected the particle transport process to some extent, and the degree of influence was closely related to the time moment of the temperature change onset. Moreover, we found a hysteresis phenomenon in the breakthrough curve under both temperature reduction and increment conditions. The results also indicated that the temperature effect was particularly significant for smaller particles. The typical curves to represent particle transport process under variable temperatures were put forward according to the results. To explain the test results, four factors, that is, water viscosity, adsorption effect, double layer force, and particle kinetic energy, were considered and categorized as promotion or constraining factors.

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“…The role that groundwater barriers play in pumping test analysis has been thoroughly characterized (Ferris et al ; Kruseman and de Ridder ; Pujades et al ; Wu et al ). In addition, methods have been developed for groundwater modeling in regions with hydraulic barriers, including: using analytical models (Fitts ); understanding horizontal (Anderson ) and vertical (Anderson and Bakker ) anisotropy across impermeable barriers, including in multi‐aquifer settings; incorporating impermeable barriers into numerical modeling codes (Hsieh and Freckleton ); and using numerical models to test different permeabilities of fault zones (Bense and Person ).…”

Section: Introductionmentioning

confidence: 99%

The Effect of Undetected Barriers on Groundwater Drawdown and Recovery

Marshall¹,

Cook

Miller

et al. 2019

Groundwater

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In large‐scale pumping projects, such as mine dewatering, predictions are often made about the rate of groundwater level recovery after pumping has ceased. However, these predictions may be impacted by geological uncertainty—including the presence of undetected impermeable barriers. During pumping, an impermeable barrier may be undetected if it is located beyond the maximum extent of the cone of depression; yet it may still control drawdown during the recovery phase. This has implications for regional‐scale modeling and monitoring of groundwater level recovery. In this article, non‐dimensional solutions are developed to show the conditions under which a barrier may be undetected during pumping but still significantly impact groundwater level recovery. The magnitude of the impact from an undetected barrier will increase as the ratio of pumping rate to aquifer transmissivity increases. The results are exemplified for a hypothetical aquifer with an unknown barrier 3 km from a pumping well. The difference in drawdown between a model with and without a barrier may be <1 m in the 10 years while pumping is occurring, but up to 50 m after pumping has ceased.

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Semi-analytical solution to pumping test data with barrier, wellbore storage, and partial penetration effects

Cited by 97 publications

References 39 publications

Evaluation of foam conditioning effect on groundwater inflow at tunnel cutting face

Evaluation of foam conditioning effect on groundwater inflow at tunnel cutting face

Experimental investigation of suspended particles transport in porous medium under variable temperatures

The Effect of Undetected Barriers on Groundwater Drawdown and Recovery

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