Stability of a plane reaction front in a porous medium
โ Scribed by J.D. Sherwood
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 587 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0009-2509
No coin nor oath required. For personal study only.
โฆ Synopsis
Porous
media can be dissolved by pumping acids through them. The pernreability of the porous material will be raised, and this is used by the petroleum industry to increase the productivity of oil wells. The acid flows preferentiahy into zones of high permeability which are therefore most rapidly dissolved, leading to a further preferential enhancement of the permeability. Thus the reaction front is unstable. This paper studies a simple model which demonstrates the effect of the Damktihler number and of the Acid Capacity number on the instability of a plane reaction front. Scaling lengths by the depth of the reaction zone, it is found that perturbations with wave number k grow exponentially at a rate CT cc log (1 + k) rather than the c cc k which occurs in the Baffman-Taylor instability. Although perturbations with the smallest wavelengths (of the order of the pore size) will grow most rapidly. fingering will be marked for all fingers with wavelengths smaller than, or similar to, the width of the reaction zone. Laboratory experiments reveal negligible fingering in sandstones, and the instability is thought to be mainly associated with the rapid reactions which occur in carbonate rocks. The results obtained here predict that the instabilities in slower reacting sandstones will only become apparent in experiments on a much larger scale.
๐ SIMILAR VOLUMES
## Abstract In this paper a mathematical model is used to predict the time behavior of porosity and permeability of a porous medium being dissolved by acid. Experimentally determined reaction kinetics and pore size distribution are used in the model. The acidizing process studied here is of importa
N e w Jersey Stability criteria are formulated for displacement of a fluid from an infinite porous medium by a second more dense fluid miscible with the fluid being displaced. Pure displacing fluid is separated from pure displaced fluid by a region of constant thickness in which the two fluids inter