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http://hdl.handle.net/1956/2613
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| Title: | Sequestration of carbon in saline aquifers : mathematical and numerical analysis |
| Authors: | Nordbotten, Jan Martin |
| Issue Date: | 30-Apr-2004 |
| Publisher: | The University of Bergen |
| Abstract: | The work in this thesis focuses equally on two main topics. The first of
these subjects deals with development of criteria for monotonicity of con-
trol volume methods. These methods are important and frequently used for
solving the pressure equation arising in porous media flow. First we consider
homogeneous parallelogram grids, and subsequently general logical Cartesian
grids in hetrogeneous media. This subject is concluded by the development
of a new class of Multi Point Flux Approximation methods, motivated by
the monotonicity results obtained.
The second topic of this thesis is the development of analytical and semi-
analytical solutions to the problem of leakage through abandoned wells. More
specifically, we look at a set of aquifers, separated by impermeable layers
(aquicludes), where injection of water or CO2 takes place in some or all
the aquifers. The aquifers and aquicludes are frequently penetrated by aban-
doned wells from oil exploration, and our problem consists of finding solutions
to
flow and leakage through these wells. The goal is to obtain expressions for
leakage rates that may be evaluated quickly enough such that Monte Carlo
realizations over statistical distributions of properties for abandoned wells
can be performed. |
| URI: | http://hdl.handle.net/1956/2613 |
| ISBN: | 82-92160-25-6 (print version) |
| Appears in Collections: | Department of Mathematics
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