Mathematical modelling of single-phase nonisothermal fluid flow through porous media. Doctoral thesis
A series of mathematical models are developed to describe heat transfer in laboratory experiments using cylindrical cores in a Hassler-type coreholder. The models are general and can also be used to study behavior encountered in other laboratory arrangements. Analytical solutions are derived and the behavior of these solutions is studied to determine the interaction of the heat transfer mechanisms in laboratory cores. The mathematical models are evaluated by comparison of calculated results with published experimental data. Three main conclusions drawn are: (1) heat convection due to liquid flow and heat losses from the core are important factors in the transport of energy for all times; (2) at early and intermediate times, the heat losses to the environment are transient in nature, while at long times they become steady; and (3) during the early stages of hot or cold liquid injection, axial thermal conduction has a great effect on computed temperatures. A new idea for a dynamic displacement single-phase nonisothermal flow experiment is produced. Such an experiment could simplify the determination of the temperature effect on the absolute permeability of a porous medium, and permit determination under nonisothermal flowing conditions. The fundamental basis for this type of experiment is described.
- Research Organization:
- Stanford Univ., CA (USA). Dept. of Petroleum Engineering
- OSTI ID:
- 7094268
- Report Number(s):
- PB-262884
- Country of Publication:
- United States
- Language:
- English
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