Skip to Main content Skip to Navigation
Journal articles

Direct simulation of non-additive properties on unstructured grids

Abstract : Uncertainties related to permeability heterogeneity can be estimated using geostatistical simulation methods. Usually, these methods are applied on regular grids with cells of constant size, whereas unstructured grids are more flexible to honor geological structures and offer local refinements for fluid-flow simulations. However, cells of different sizes require to account for the support dependency of permeability statistics (support effect). This paper presents a novel workflow based on the power averaging technique. The averaging exponent ω is estimated using a response surface calibrated from numerical upscaling experiments. Using spectral turning bands, permeability is simulated on points in each unstructured cell, and later averaged with a local value of ω that depends on the cell size and shape. The method is illustrated on a synthetic case. The simulation of a tracer experiment is used to compare this novel geostatistical simulation method with a conventional approach based on a fine scale Cartesian grid. The results show the consistency of both the simulated permeability fields and the tracer breakthrough curves. The computational cost is much lower than the conventional approach based on a pressure-solver upscaling.
Complete list of metadata

Cited literature [66 references]  Display  Hide  Download

https://hal.univ-lorraine.fr/hal-02891780
Contributor : Guillaume Caumon <>
Submitted on : Tuesday, July 7, 2020 - 10:12:08 AM
Last modification on : Thursday, December 10, 2020 - 12:35:53 PM
Long-term archiving on: : Friday, November 27, 2020 - 12:27:40 PM

File

Mourlanette et al. - 2020 - Di...
Publication funded by an institution

Licence


Distributed under a Creative Commons Attribution 4.0 International License

Identifiers

Citation

Pauline Mourlanette, Pierre Biver, Philippe Renard, Benoit Noetinger, Guillaume Caumon, et al.. Direct simulation of non-additive properties on unstructured grids. Advances in Water Resources, Elsevier, 2020, 143, pp.103665. ⟨10.1016/j.advwatres.2020.103665⟩. ⟨hal-02891780⟩

Share

Metrics

Record views

124

Files downloads

105