Project supported by the National Natural Science Foundation of China(Nos.11972218 and11472165)
The microstructures of a composite determine its macroscopic properties. In this study, microstructures with particles of arbitrary shapes and sizes are constructed by using several developed fractal geometry algorith...
Project supported by the National Natural Science Foundation of China(No.11672150);the Beijing Nova Program Interdisciplinary Cooperation Project(No.xxjc201705);the Capital Clinical Special Promotion Project(No.Z161100000516233);the Key Issue of the 12th Five-Year Plan of People’s Liberation Army of China(No.BKJ13J004)
This study investigates the viscoelastic behavior of soft bio-fibres in association with their fractal structures. A spring-dashpot fractal network with the self-similar topology, named the -type fractal ladder hyper-...
supported by the National Natural Science Foundation of China (No. 10872114);the Natural Science Foundation of Jiangsu Province (No. BK2008370)
Based on fractal super fibers and binary fractal fibers, the following objectives are approached in this paper: First, the concept of multiple-cell elements is induced and abstracted. Second, through multiple-cell el...
Project supported by the National Natural Science Foundation of China (No.50275024)
The 1/3 sub-harmonic solution for the Duffing's with damping equation was investigated by using the methods of harmonic balance and numerical integration. The assumed solution is introduced, and the domain of sub-har...
The steady oil production and pressure distribution formulae of vertically fractured well for power-law non-Newtonian fluid were derived on the basis of the elliptic flow model in fractal reservoirs. The corresponding...
The sufficient conditions of Holder continuity of two kinds of fractal interpolation functions defined by IFS (Iterated Function System) were obtained. The sufficient and necessary condition for its differentiability ...
The effective radius of oil well is introduced in the inner boundary in the problem of fluids flow through fractal reservoir with double porosity, and thus a new model is established. Taking the wellbore storage and s...
Random iterated function systems (IFSs) is discussed, which is one of the methods for fractal drawing. A certain figure can be reconstructed by a random IFS. One approach is presented to determine a new random IFS, th...
Fractal media has many characteristics different from those of homogeneous media, it has a correlated self-similar structure. The particle diffusion in pore fractal is different from Fick' s diffusion, and its mean-sq...
In this paper, fractal geometry theory is used to combine with the seepage flow mechanics to establish the relaxation models of non_Newtonian visco_elastic fluid flow in fractal reservoirs. A method to scale the fract...