Publications

Multiporosity flow in fractured low-permeability rocks

Kuhlman, Kristopher L.; Malama, Bwalya; Heath, Jason

A multiporosity extension of classical double and triple-porosity fractured rock flow models for slightly compressible fluids is presented. The multiporosity model is an adaptation of the multirate solute transport model of Haggerty and Gorelick (1995) to viscous flow in fractured rock reservoirs. It is a generalization of both pseudo steady state and transient interporosity flow double-porosity models. The model includes a fracture continuum and an overlapping distribution of multiple rock matrix continua, whose fracture-matrix exchange coefficients are specified through a discrete probability mass function. Semianalytical cylindrically symmetric solutions to the multiporosity mathematical model are developed using the Laplace transform to illustrate its behavior. The multiporosity model presented here is conceptually simple, yet flexible enough to simulate common conceptualizations of double and triple-porosity flow. This combination of generality and simplicity makes the multiporosity model a good choice for flow modelling in low-permeability fractured rocks. Key Points: New conceptual model generalizing dual porosity flow in fractured rocks Multiporosity model is generalization of existing well-known models Semianalytical radially symmetric solutions presented for new conceptual model