滑坡灾害预报的非线性动力学方法   总被引：29，自引：0，他引：29  

秦四清  张倬元 《水文地质工程地质》1993,20(5):1-4

基于现代反演理论,建立了滑坡灾害预测的非线性动力学模型,给出了可预报时间尺度的确定方法及稳定性判断准则。通过实例分析表明,非线性动力学分析方法是行之有效的。  相似文献   

A four-parameter,two degree-of-freedom block-spring model: Effect of the driver velocity     

Jose L. Brun  Javier B. Gomez 《Pure and Applied Geophysics》1994,143(4):633-653

We analyze the effect of tectonic plate velocities in the earthquake pattern using a simple mass-spring model of the Burridge and Knopoff type with two blocks and a velocity-weakening friction law. Previous versions of the two-block model assume a steady driver during slip events (limit of zero driver velocity), which, in some cases makes necessary the introduction of artificial parameters to start the numerical integration of the equations of motion at impending slip of any block. Still maintaining the condition of zero driver velocity during slip, we shall introduce a procedure to start the numerical integration without introducing artificial parameters and this will be done by using a linearized version of the equations of motion valid for small velocities and considering nonzero driver velocity. We also introduce a four parameter model in which the driver velocity enters the equations during the whole simulation, and analyze the effect of the new parameter, the driver velocity, in the displacement and time patterns of blocks motion, directly related to earthquake statistics such as coseismic slips and average repeat times.  相似文献   

A Maslov-Chapman wavefield representation for wide-angle one-way propagation     

Michael G. Brown 《Geophysical Journal International》1994,116(3):513-526

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东亚地区天气吸引子特征的研究     

王建中  彭永清 《南京气象学院学报》1994,17(1):86-92

利用东亚地区１１个有代表性测站（１９７９－１９８８年）连续１０年的５００ｈＰａ逐日位势高度时间序列，全面计算了它们的浑沌特征量。结果表明，各测站相应的关联维数都是分数；完整的Ｌｙａｐｕｎｏｖ指数谱中，不仅都有正值、零和负值，而且Ｌｙａｐｕｎｏｖ指数之和都小于零。因此，从整体来看，相应于东亚地区天气尺度的吸引子是由一个有限窨支撑起来的。东亚地区的天气吸引子所显示的系统平均Ｋｏｌｍｏｇｏｌｏｖ熵约为０  相似文献   

孕震动力系统的研究趋势与展望     

安镇文  洪时中 《国际地震动态》1996,(10):1-6

该文综述了近年来应用浑沌动力学研究固化介质中裂纹的传播问题，描述了地震发生的动力学模拟，探讨了利用时间序列的相空间重构问题，最后对这些问题进行了简略的讨论。  相似文献   

Chaotic seismic faulting with a mass-spring model and velocity-weakening friction     

Jie Huang  D. L. Turcotte 《Pure and Applied Geophysics》1992,138(4):569-589

We present a systematic analysis of the dynamical behavior introduced by fault zone heterogeneities, using a simple mass-spring model with velocity-weakening friction. The model consists of two sliding blocks coupled to each other and to a constant velocity driver by clastic springs. The state of this system can be characterized by the positions of the two blocks relative to the driver. Symmetry stabilizes the system and generates only cyclic behavior. For an asymmetric system where the frictional forces for the two blocks are not equal, the solutions exhibit chaotic behavior. The transition from stable cyclic behavior to chaos is characterized by the period-doubling route to chaos. Lyapunov exponents are computed to quantify the deterministic chaos and to locate the onset of the chaotic evolution in parameter space. In many examples of deterministic chaos, chaotic behavior of a low-order system implies chaos in similar higher order systems. Thus, our results provide substantial evidence that crustal deformation is an example of deterministic chaos.  相似文献   

Exploring nonlinear characteristics in seismogenic process     

Zhen-Wen An  Lin-Ying Wang  Yao Chen  Han-Meng Pan 《地震学报(英文版)》1993,6(4):923-930

Power spectral characteristics of the seismic activities before and after the seven large earthquake — Haicheng, Tangshan, Lancang, Longling, Mabian, Puer and Songpan are studied by spectrum analysis method. The results show that they all have continuous power spectrum and aperiodic behaviour. When the time away from the large earthquake occurrence, the characteristics of the seismic activities are obviously accompanied by stochastic components. About one year before main shock, the moving orbits constructed by spectrum amplitudes showed the contracting tendency. And the properties during that time may display as flicker noise. One’s another time almost mixed whole phase space. But the essence of seismic activities after main shocks is a chaotic state accompanied with much noises. The Chinese version of this paper appeared in the Chinese edition ofActa Seismologica Sinica,15, 276–281, 1993. This subject is supported by the Chinese Joint Seismological Foundation.  相似文献   

地质系统的复杂性--地质科学的基本问题(Ⅱ)   总被引：10，自引：0，他引：10  

於崇文 《地球科学》2003,28(1):31-40

笔者根据其所提出的“地质作用与时空结构是一切地质现象的本质与核心”的自然哲学理念将地质科学的学科体系划分为地球物质的成分与结构、地质作用、地质学场与地质系统的演化等四大基本领域,它与9个重大基础地质问题以及与其相关的基础理论问题相对应（表2）,笔者将其已发表的地质科学的复杂性理论“地质作用的临界过程动力学－地质系统在混沌边缘分形生长”应用于研究9个重大基础地质问题,着重对于其中所包含的主要基础理论问题的实质及其理论与研究方法作较深入而简要的剖析。目的是通过将地质系统的复杂性作为地质科学的基本问题的新视角对古老而常新的地质科学进行再认识,将重大基础地质问题的研究提高到非线性科学和复杂性理论的层次,并实现地质科学向精确科学的跨越,取得突破性进展。  相似文献   

成矿动力系统在混沌边缘的分形生长——一种新的成矿理论与方法论     

於崇文 《矿物岩石地球化学通报》2002,21(2):103-113

笔将复杂性理论及非线性科学与矿床地质学相结合,对我国扬子古陆周缘6个矿集区的基本范式进行系统研究。结果指出,成矿系统总体上是开放、远离平衡、时－空延展的动力学系统。它们具有复杂性和自组织临界性的内禀基本属性,并且在混沌边缘分形生长。  相似文献   

Fractal Dimensions as Chaos Indicators     

F. Freistetter 《Celestial Mechanics and Dynamical Astronomy》2000,78(1-4):211-225

The correlation dimension D ₂ is used to develop a method of classification for phase space orbits. D ₂ depends only on the mutual distances of the orbits points, therefore the time development of the orbit is reflected in the time development of the correlation dimension approximants. It is shown, that this technique allows to investigate the dynamical properties of a phase space orbit, a classification of chaotic and regular orbits and a detection of sticky orbits.  相似文献