19–22 May 2025
US/Mountain timezone

Statistical integro-differential fracture model (Sid-FM): An efficient approach to simulate expected flow in fractured sub-surface formations

20 May 2025, 09:20
15m
Oral Presentation (MS03) Flow, transport and mechanics in fractured porous media MS03

Speaker

Daniel Stalder

Description

Information about sub-surface formations is typically scarce and plagued by uncertainties. Especially when dealing with fractured formations, this strongly impacts the predictive power of numerical simulations. Isolated fractures for example may represent long-ranging highly conductive flow conduits having a strong impact on flow and transport. Furthermore, as fractures can reach extensions similar to the size of the domain of interest, homogenization may not lead to satisfactory results. Alternatively, fracture-resolving Monte Carlo simulations are typically used. However, due to their high computational costs, usually only few fractures can be incorporated in comparison to realistic formations. Sid-FM, on the other hand, circumvents a fracture-resolving description, but determines the ensemble-averaged flow field directly by incorporating the non-local effect of extended fractures through kernel functions. In this work it is shown that different kernel functions can accurately capture the effects of different fracture distributions, shapes, and clusters of connected fractures. The results of Sid-FM are compared against fracture-resolving Monte Carlo simulations in a series of numerical experiments. It is demonstrated that Sid-FM can quickly and inexpensively produce accurate flow estimates.

Country Switzerland
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Primary author

Daniel Stalder

Co-authors

Daniel Meyer (Institute of Fluid Dynamics, ETH Zurich) Patrick Jenny Shangyi Cao (ETH Zürich)

Presentation materials

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