An axisymmetric model for the charging of a liquid-dominated geothermal reservoir
type: Item
instance of: scholarly article
title: An axisymmetric model for the charging of a liquid-dominated geothermal reservoir
zbMATH Open document ID: 0536.76086
DOI: 10.1016/S0017-9310(83)80070-2
author: J. Troncoso
author: D. R. Kassoy
published in: International Journal of Heat and Mass Transfer
publication date: 1983-01-01T00:00:00Z
review text: A mathematical model is studied to describe the charging of an axisymmetric geothermal reservoir. The model is constituted by a vertical permeable cylinder surrounded by an aquifer. The equations are those of saturated porous media, the central fracture zone being homogeneous and isotropic, while the vertical permeability of the aquifer is zero. The boundary conditions are written to express the total input mass flow rate, the prescribed temperatures of the boundaries, and continuity conditions (pressure, temperature, etc...) at the fracture zone-aquifer boundary. An asymptotic expansion of the solution is developed for large Rayleigh number. The very important number of unknowns needs to simultaneously combinate several mathematical techniques, such as boundary layer techniques supplemented by numerical computations. However the physical meaning of the results is examined with much detail. The differences between the results of this axisymmetric model and a previous two-dimensional problem are placed in evidence. The interest of the study is that the conclusions appear to be very simple to match with an experimental study.
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 86A05
Mathematics Subject Classification ID: 80A20
Mathematics Subject Classification ID: 86A99
zbMATH DE Number: 3852685
zbMATH Keywords: linear convection
zbMATH Keywords: charging of axisymmetric geothermal reservoir
zbMATH Keywords: vertical permeable cylinder surrounded of aquifer
zbMATH Keywords: saturated media
zbMATH Keywords: asymptotic expansion for large Rayleigh number
zbMATH Keywords: boundary conditions
zbMATH Keywords: total input mass flow rate
zbMATH Keywords: continuity conditions
zbMATH Keywords: fracture zone-aquifer boundary
zbMATH Keywords: boundary layer techniques
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3852685