ABSTRACT
The study of the phenomenon of fractal growth is one of the main interests in fractal physics. The prototype fractal growth models are diffusion-limited aggregation, viscous fingering, and the more general dielectric breakdown model. In the future, it may be possible to account for the principal features of rock microgeometry by these fractal growth models. Based on the invariance of fractal growth direction, Pietronero et al. have proposed a new approach to simulate these Laplace fractals. Louis et al. and Takayasu have studied fracture patterns in materials by means of Laplace fractals. While directly considering the Laplace equation of the continuum elastic material, Louis et al. have studied the fracture pattern in materials, based on a continuum elastic equation. The simulation procedure of the fracture patterns starts with a lattice whose bounds are stretched by 10% over their equilibrium length.
