Implict 1-D transport solvers for a streamline simulator for fractured reservoirs

N. Adrianov, A. Myasnikov, K. Bratvedt

Publikation: Bidrag til bog/rapport/konferenceproceedingsKonferenceartikel i proceedingspeer review

Abstrakt

Naturally fractured reservoirs can be seen as a set of low permeability matrix rock blocks and a high permeability network of fracture channels. This representation is conventionally described by a dual porosity model, which is the one used in the present work. More precisely, the porosities and absolute permeabilities at each point of a reservoir are considered to be those of two interpenetrating continua, the matrix and the fractures one. It is also assumed that the flow occurs in fractures only, i.e., the matrix permeability is equal to zero. Mass transfer between matrix and fractures is modeled by empirically determined transfer functions. Fracture permeabilities can differ in orders of magnitude, which results in very different flow velocities in different parts of the reservoir. This circumstance is advantageous for simulating the reservoir numerically with the streamline method [1,4,6,7,8,9,11,17,18,21]. Indeed, in the streamline method the transport part is solved along a set of one-dimensional streamlines, and the corresponding time step used for the update of the solution can be chosen independently for each streamline. Therefore, there is no global time step restriction, which is the case for finite difference simulation. This work is a further development of methods, proposed in [19,16] and [2]. We are concerned with the efficient solution of saturation transport along streamlines. To this end, we propose to use an implicit method. This eliminates the CFL restriction on the time step which is inherent to explicit methods, at the price of possibly introducing more numerical diffusion. The numerical method can be further accelerated with the use of adaptive mesh refinement along streamlines [2]. We show that the proposed technique can be useful when one needs to estimate the flow pattern in the reservoir quickly, e.g., for ranking of geological models.

OriginalsprogEngelsk
Titel69th European Association of Geoscientists and Engineers Conference and Exhibition 2007
UndertitelSecuring The Future. Incorporating SPE EUROPEC 2007
ForlagEuropean Association of Geoscientists and Engineers
Sider3390-3397
Antal sider8
ISBN (Trykt)9781605601557
StatusUdgivet - 2007
Begivenhed69th European Association of Geoscientists and Engineers Conference and Exhibition 2007. Incorporating SPE EUROPEC 2007 - London, Storbritannien
Varighed: 11 jun. 200714 jun. 2007

Publikationsserier

Navn69th European Association of Geoscientists and Engineers Conference and Exhibition 2007: Securing The Future. Incorporating SPE EUROPEC 2007
Vol/bind6

Konference

Konference69th European Association of Geoscientists and Engineers Conference and Exhibition 2007. Incorporating SPE EUROPEC 2007
Land/OmrådeStorbritannien
ByLondon
Periode11/06/0714/06/07

Programområde

  • Programområde 3: Energiressourcer

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