Complementary development (probabilistic approach)
Fluid Percolation in a Porous Material - Application to Construction Pathology
Article REF: C7304 V1
Complementary development (probabilistic approach)
Fluid Percolation in a Porous Material - Application to Construction Pathology

Author : Fouad BOUYAHBAR

Publication date: March 10, 2025 | Lire en français

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3. Complementary development (probabilistic approach)

3.1 Cluster combinatorics

The complexity of the previous approach (involving the need for several simulations) can be solved by combinatorial cluster counting in a given grid.

Ergodicity allows us to consider the distribution of clusters in the same grid as the distribution of porosity in the real material.

Random grid generation allows you to introduce a probability law for opening or closing cells.

The probability that a cell taken at random from a grid will be opened is, of course, equal to p (intrinsic porosity of the material).

The aim is...

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