University Research Initiative of
Department of Mathematical Sciences
Department of Petroleum Engineering & Applied Geophysics
Norwegian University of Science & Technology
Trondheim
Norway
Vision:
To provide creative mathematically based solutions to
recognized challenges in reservoir evaluation.
Objectives:
Identify, develop and evaluate mathematically and physically based models for assessment of uncertainties in reservoir evaluation, and distribute information and provide training about these models through education, publishing and seminars.
The activity in the programme is inspired by the problem
complexes:
. near-well initial reservoir characterization integrating
all available information
. dynamic reservoir characterization based on repeated
seismic monitoring and
production history
Reference persons:
Professor Henning Omre , Department of Mathematical Sciences, NTNU - Head of URE
Professor Helge Holden , Department of Mathematical Sciences, NTNU
Professor Bjørn Ursin , Department of Petroleum Engineering & Applied Geophysics, NTNU
Professor Ole Torsæter , Department of Petroleum Engineering & Applied Geophysics, NTNU
Professor Martin Landrø , Department
of Petroleum Engineering & Applied Geophysics, NTNU
Ass.Professor Haakon Tjelmeland , Department
of Mathematical Sciences, NTNU
Ass.Professor Jo Eidsvik , Department
of Mathematical Sciences, NTNU
Ph.d. candidates:
Klaus
Lykke Dagø (terminates April 2001)
Thomas G. Theting (dissertation August 2001)
Jo Eidsvik
(dissertation October 2003)
Stig Kyrre Foss (dissertation
March 2004)
Jo Røislien
(dissertation June 2004)
Ole Petter Lødøen (dissertation
November 2005)
Present students:
Vegard R.Stenerud
Tor Erik Rabben
Trond Sagerup Inge Bjoern Myrseth
Status report:
The current status of the URE-initiative : Status report
Recent publications:
Publications of the URE-initiative:
Recent publications
URE-seminar topics:
The following topics are offered as in-house seminars for the participants:
Inversion of seismic AVO-data
by Henning Omre/ Bjørn Ursin
Repeated seismic monitoring requires the use of AVO-data
in order to classify pore fluids. These data are
associated with considerable uncertainty, hence a statistical
approach seems reasonable. Various Bayesian
inversion techniques will be presented and demonstrated.
Scattering-angle/azimuth common image gathers
by Bjørn Ursin
Common image gathers (CIGs) in the offset and surface
azimuth domain are used extensively in migration velocity analysis and amplitude
versus offset studies. If the geology is complex and the rayfield becomes
multi-pathed, the quality of the CIG's deteriorates. To overcome these
problems, the CIGs may instead be generated as a function of scattering-angle
and azimuth at the image point. The metodology for doing this will
be presented with several case studies.
Matching of production history
by Henning Omre
Production forecasts are crucial for reliable reservoir
management. These forcasts should be based on all available
reservoir specific observations. Conditioning on production
history causes particular problems. Various stochastic
approaches to history matching will be presented and demonstrated.
Front tracking for hyperbolic conservation laws - theory
and numerics
by Helge Holden
Hyperbolic conservation laws are the fundamental differential
equations used in modelling of fluid flow in porous media. Front tracking
constitutes one method by which one can develope both numerical techniques
and analytical results. The numerical methods are used in commercial packages.
Both analytical results and more applied aspects will be emphasized.
Stochastic partial differential equations
by Helge Holden
It is quite common to model the lack of information conserning
flow in porous media by stochastic equations, replacing quantitative information
by stochastic information. This results in stochastic partial differential
equations. A general framework for studying classes of such equations is
provided by the so-called white noice analysis. These techniques
will be presented, and one may focus on particular types of equations.
Wettability in petroleum reservoirs
by Ole Torsæter
The wettability has influence on the recovery of reservoirs.
Measuring the wettability is complicated. Various methods for wettability
prediction from core plugs and in situ in the reservoir will be presented.
Moreover, the influence of wettability on fluid distribution in homogeneous
and heterogeneous reservoirs will be discussed. Examples of
the wettabilities influence on the production characteristics will be presented.
Research links: