# InterPore2018 New Orleans

14-17 May 2018
New Orleans
US/Central timezone

## On modeling scale-invariant dual-porosity media based on general fractal topography

14 May 2018, 17:00
15m
New Orleans

#### New Orleans

Poster MS 1.02: Fractal Theory and its Applications to Flow and Transport Properties of Porous Media

### Speaker

Prof. Yi Jin (Henan polytechnic university)

### Description

Dual-porosity media widely exist in natural reservoirs and have been received much attention in heat and mass transfer. Due to multiplicative cascade effects, the microstructure might be disordered and complicated, with fractures/pores scale-invariantly distributed. In this study, we briefly introduce the concept of General Fractal Topography proposed recently which not only reduces modeling complexity significantly but also admits scaling objects and fractal behaviors as complex as possible. And then, we developed an algorithm to model fractal fracture-pore porous media according to the scaling-invariant topography based on Voronoi tessellations. The original complexity of the fractures and pores distribution is wrapped in the determined phase of scaling object, while the behavior complexity is defined by the fractal topography. Our investigation provides an open framework to unify the definition and modeling of pore, fracture network, and dual-porosity media.

### References

Zheng, Q. & Yu, B. (2012), A fractal permeability model for gas flow through dual-porosity media, J. Appl. Phys., 111(0243162), 24316-24317.

Jin, Y., Wu, Y., & Li, H., et al. (2017), Definition of fractal topography to essential understanding of scale-invariance, Sci Rep, 7, 46672.

Jin, Y., Li, X., & Zhao, M., et al. (2017), A mathematical model of fluid flow in tight porous media based on fractal assumptions, Int. J. Heat Mass Tran., 108, Part A, 1078-1088.

Wang, B. Y., JIN, Y., & Chen, Q., et al. (2014), Derivation of permeability-pore relationship for fractal porous reservoirs using series-parallel flow resistance model and lattice Boltzmann method, Fractals, 22(3), 1440005.

Jin, Y., Song, H., & Hu, B., et al. (2013), Lattice Boltzmann simulation of fluid flow through coal reservoir’s fractal pore structure, Science China Earth Sciences, 56(9), 1519-1530.

Jin, Y., Dong, J., & Zhang, X., et al. (2017), Scale and size effects on fluid flow through self-affine rough fractures, Int. J. Heat Mass Tran., 105, 443-451.

Jin, Y., Zhu, Y. B., & Li, X., et al. (2015), Scaling invariant effects on the permeability of fractal porous media, Transport Porous Med., 109(2), 433-453.