ON THE STABILITY OF SOLUTIONS OF THE PRESSURE EQUATION WITH RESPECT TO PERTURBATIONS IN THE MOBILITY TENSOR

Authors
BRUASET AM NIELSEN BF TVEITO A
Citation
Am. Bruaset et al., ON THE STABILITY OF SOLUTIONS OF THE PRESSURE EQUATION WITH RESPECT TO PERTURBATIONS IN THE MOBILITY TENSOR, Zeitschrift fur angewandte Mathematik und Mechanik, 76, 1996, pp. 491-492
Citations number
6
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mechanics,Mathematics
Journal title
Zeitschrift fur angewandte Mathematik und Mechanik → ACNP
ISSN journal
00442267
Volume
76
Year of publication
1996
Supplement
2
Pages
491 - 492
Database
ISI
SICI code
0044-2267(1996)76:<491:OTSOSO>2.0.ZU;2-8
Abstract
In mathematical models of oil recovery, one usually has to solve a pre ssure equation which is derived form Darcy's law and conservation of m ass. Because of the difficulties connected to the measurements of phys ical parameters such as the permeability of the rock, it is of importa nce to study the stability of the pressure and the velocity field with respect to perturbations in the mobility tenser. This entity gathers some of the most important physical parameters in models of oil recove ry, and is a vital parameter in connection to simulations. We present some estimates showing stability in suitable norms.