岩石爆破破碎时间及微差起爆延时优化

利用分形理论分析岩石爆破的破碎时间，提出了岩石爆破破碎时间的计算方法和微差起爆延时优化的一种途径。     

Fractals — An overview of potential applications to transport in porous media

We present an overview of the potential applicability of fractal concepts to various aspects of transport phenomena in heterogeneous porous media. Three examples of phenomena where a fractal approach should prove illuminating are presented. In the first example we consider pore level heterogeneities as typified by pore surface roughness. We suggest that roughness may be usefully modelled by fractal curves and surfaces and also cite experimental evidence for regarding pores as fractals. In the second example we consider a fractal network approach to modelling large-scale heterogeneities. The presence of features on all length scales in simple fractal models should capture the essential role played by the presence of heterogeneities on many scales in natural reservoirs. Studies of transport phenomena in such models may yield valuable insights into the problems of macroscopic dispersion. The final example concerns dispersion in multiphase flow. Here the fractal character is attributed to the distribution of the fluid phases rather than the porous medium itself. Again studies of transport phenomena in simple fractal models should help to clarify various problems associated with the corresponding phenomena in real reservoirs.     

Doubly nonlinear parabolic-type equations as dynamical systems

In this paper, we study a class of doubly nonlinear parabolic PDEs, where, in addition to some weak nonlinearities, also some mild nonlinearities of porous media type are allowed inside the time derivative. In order to formulate the equations as dynamical systems, some existence and uniqueness results are proved. Then the existence of a compact attractor is shown for a class of nonlinear PDEs that include doubly nonlinear porous medium-type equations. Under stronger smoothness assumptions on the nonlinearities, the finiteness of the fractal dimension of the attractor is also obtained.     

大理岩非分叉断裂的随机分形模型

本文建立了大理岩沿晶、穿晶及沿晶穿晶偶合断裂的随机分形模型，该模型能与大理岩的整体晶态结构自洽，且模型的分维值与测量值有很好的吻合。     

Lower bounds for the Hausdorff dimension of attractors

The existence of certainm-dimensional structures in a dynamical system implies that the Hausdorff dimension of its attractor is at leastm+1. A Bendixson criterion for the nonexistence of periodic orbits for systems in Hilbert spaces is found.     

关于分形和炸药撞击感度的一点记注

通过对现有炸药冲击感度的标度方法进行了分析和讨论。从落锤试验分幅照相结果，初步建议用分形维数作为炸药冲击感度的标度，识为是有这种可能性。并讨论了这种方法的优点。     

圆柱绕流的非线性动力学

本文利用非线性动力学的概念和方法来研究粘性不可压缩流体的二维圆柱绕流问题．计算了定常流失稳以及出现混沌的临界雷诺数，并估计了混沌解的一些统计特征．     

THE TRANSIENT ELLIPTIC FLOW OF POWER-LAW FLUID IN FRACTAL POROUS MEDIA

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Effects of Multi Global Bifurcations on Basin Organization,Catastrophes and Final Outcomes in a Driven Nonlinear Oscillator at the 2T-Subharmonic Resonance

The behavior of the escape driven oscillator at the 2T-periodic subharmonic resonance is considered, and the mechanism of generating different fractal patterns of the basins of attraction of coexisting attractors, as well as its effects on the unpredictable asymptotic system behaviors, are the main points of interest. The analysis is based on the numerical study of the sudden qualitative changes of the structure of basin-phase portraits, the changes implied by multi global bifurcations. Attention is focused on two qualitatively different regions of control space: the region prior to the subcritical flip bifurcation, where all three attractors (2T-periodic, T-periodic and the attractor at infinity) coexist, and the region after the bifurcation, where only two attractors (2T-periodic and the attractor at infinity) coexist. In particular, the concept of the global (homoclinic and heteroclinic) bifurcations is extended to the latter region, where the arising flip saddle (instead of the direct saddle) is involved in the events. The possible forms of unpredictable outcomes, which arise in both regions of control parameters, are pointed out.     

微孔洞型的分形断裂理论初探

初步研究并提出微孔洞型的分形断裂理论，建立了主裂纹与微孔洞汇合的分形模型，并以此为基础确定了分维Ｄ与连接区厚度Δ和孔洞平均半径ｒ之间的关系，推导了微孔洞与主裂纹连接的能量准则，讨论了分维与断裂韧性之间的关系。