Study of flow and transport in fracture network using percolation theory

Abstract A fracture network model based on algebraic topology theory has been developed to study fluid flow and solute transport in fracture dominant media. The discrete fracture network is generated stochastically while the flow and transport in each individual fracture are solved using a continuum approach. Alternative to the traditional formulations, the fracture geometries, connectivities and flow characteristics follow a topological structure appropriate to the class of fracture networks or systems. The innovative natures also include the development of a transport mechanism in which dispersive–convective solute migration through discrete fracture network can be evaluated.

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