Numerical analysis of groundwater flow in a bore hole with a cylindrical obstacle: Basic relationship for measurement of seepage flow velocity

Satoshi Akibayash, Kyuro Sasaki, Qing Wei, Takafumi Murakami

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper presents a numerical analysis and visualization experiments of a steadystate two-dimensional groundwater flow passing through a borehole with a cylindrical obstacle at its center.In the numerical analysis, Darcy's Law was applied to simulate the flow in porous media, while Navier-Stokes Equations were applied to simulate the flow in the borehole. These equations were discretised with the finite difference method and were solved using the alternative direction implicit method under various flow conditions.The results of numerical analysis were validated with velocity and streamline measurements in laboratory experiments. Effects of Reynolds Number and obstacle sizes on the flow in the borehole were observed in the velocity and streamline profiles. The applicable ranges of the Stokes' Approximation in the Navier-Stokes Equation were also investigated through the numerical analysis.
Original languageEnglish
Title of host publication26th International Symposium on Application of Computers and Operations Research in the Mineral Industry (APCOM) (State College, Pennsylvania, USA)
EditorsR.V. Ramani
PublisherSociety for Mining, Metallurgy, and Exploration, Inc.
Pages203-208
Number of pages6
ISBN (Print)0873351371
Publication statusPublished - Sep 1996

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Groundwater flow
Seepage
Flow velocity
flow velocity
groundwater flow
seepage
Numerical analysis
Boreholes
borehole
Navier-Stokes equations
Navier Stokes equations
Darcy law
two-dimensional flow
finite difference method
Finite difference method
Reynolds number
visualization
Porous materials
porous medium
Visualization

All Science Journal Classification (ASJC) codes

  • Earth and Planetary Sciences(all)
  • Fluid Flow and Transfer Processes

Cite this

Akibayash, S., Sasaki, K., Wei, Q., & Murakami, T. (1996). Numerical analysis of groundwater flow in a bore hole with a cylindrical obstacle: Basic relationship for measurement of seepage flow velocity. In R. V. Ramani (Ed.), 26th International Symposium on Application of Computers and Operations Research in the Mineral Industry (APCOM) (State College, Pennsylvania, USA) (pp. 203-208). Society for Mining, Metallurgy, and Exploration, Inc..

Numerical analysis of groundwater flow in a bore hole with a cylindrical obstacle: Basic relationship for measurement of seepage flow velocity. / Akibayash, Satoshi; Sasaki, Kyuro; Wei, Qing; Murakami, Takafumi.

26th International Symposium on Application of Computers and Operations Research in the Mineral Industry (APCOM) (State College, Pennsylvania, USA). ed. / R.V. Ramani. Society for Mining, Metallurgy, and Exploration, Inc., 1996. p. 203-208.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Akibayash, S, Sasaki, K, Wei, Q & Murakami, T 1996, Numerical analysis of groundwater flow in a bore hole with a cylindrical obstacle: Basic relationship for measurement of seepage flow velocity. in RV Ramani (ed.), 26th International Symposium on Application of Computers and Operations Research in the Mineral Industry (APCOM) (State College, Pennsylvania, USA). Society for Mining, Metallurgy, and Exploration, Inc., pp. 203-208.
Akibayash S, Sasaki K, Wei Q, Murakami T. Numerical analysis of groundwater flow in a bore hole with a cylindrical obstacle: Basic relationship for measurement of seepage flow velocity. In Ramani RV, editor, 26th International Symposium on Application of Computers and Operations Research in the Mineral Industry (APCOM) (State College, Pennsylvania, USA). Society for Mining, Metallurgy, and Exploration, Inc. 1996. p. 203-208
Akibayash, Satoshi ; Sasaki, Kyuro ; Wei, Qing ; Murakami, Takafumi. / Numerical analysis of groundwater flow in a bore hole with a cylindrical obstacle: Basic relationship for measurement of seepage flow velocity. 26th International Symposium on Application of Computers and Operations Research in the Mineral Industry (APCOM) (State College, Pennsylvania, USA). editor / R.V. Ramani. Society for Mining, Metallurgy, and Exploration, Inc., 1996. pp. 203-208
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N2 - This paper presents a numerical analysis and visualization experiments of a steadystate two-dimensional groundwater flow passing through a borehole with a cylindrical obstacle at its center.In the numerical analysis, Darcy's Law was applied to simulate the flow in porous media, while Navier-Stokes Equations were applied to simulate the flow in the borehole. These equations were discretised with the finite difference method and were solved using the alternative direction implicit method under various flow conditions.The results of numerical analysis were validated with velocity and streamline measurements in laboratory experiments. Effects of Reynolds Number and obstacle sizes on the flow in the borehole were observed in the velocity and streamline profiles. The applicable ranges of the Stokes' Approximation in the Navier-Stokes Equation were also investigated through the numerical analysis.

AB - This paper presents a numerical analysis and visualization experiments of a steadystate two-dimensional groundwater flow passing through a borehole with a cylindrical obstacle at its center.In the numerical analysis, Darcy's Law was applied to simulate the flow in porous media, while Navier-Stokes Equations were applied to simulate the flow in the borehole. These equations were discretised with the finite difference method and were solved using the alternative direction implicit method under various flow conditions.The results of numerical analysis were validated with velocity and streamline measurements in laboratory experiments. Effects of Reynolds Number and obstacle sizes on the flow in the borehole were observed in the velocity and streamline profiles. The applicable ranges of the Stokes' Approximation in the Navier-Stokes Equation were also investigated through the numerical analysis.

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BT - 26th International Symposium on Application of Computers and Operations Research in the Mineral Industry (APCOM) (State College, Pennsylvania, USA)

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