A mathematical model for seepage of deeply buried groundwater under higher pressure and temperature

Tao Huang*, John W. Rudnicki

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


Deeply buried groundwater, such as brine, is an important industrial raw material with high economic value. Because brine frequently exists under higher temperature and pressure, the quantitative prediction of its seepage field is very difficult. Here we study the migration of deeply buried groundwater by using a numerical simulation based on laboratory test results. In particular, we express the pressure and temperature variation of seepage parameters such as hydraulic conductivity K and specific storage coefficient S in terms of the corresponding variation of the solid skeleton's permeability k, porosity n, compressibility coefficient βs, and seepage fluid's viscosity μ and compressibility coefficient βw. Then through mathematical transformation and linearization methods, the mathematical model with pressure and temperature dependent coefficients is reduced to the same form as the standard one for seepage flow. The results are successfully applied to the Moxi structure in Sichuan basin. The results show that the effect of higher pressure and temperature should be taken into account for quantitative study of deeply buried groundwater, and that the effects are easily included by the transformation of the mathematical model to standard form.

Original languageEnglish (US)
Pages (from-to)42-54
Number of pages13
JournalJournal of Hydrology
Issue number1-2
StatePublished - Jul 30 2006


  • Brine
  • Deeply buried groundwater
  • Higher pressure and temperature
  • Seepage mathematical model

ASJC Scopus subject areas

  • Water Science and Technology


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