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   

Estimation and improvement in the geolocation accuracy of rational polynomial coefficients with minimum GCPs using KOMPSAT-3A     

Namhoon Kim  Yoonjo Choi  Junsu Bae 《地理信息系统科学与遥感》2020,57(6):719-734

ABSTRACT

In this paper, we propose a method to regenerate Rational Polynomial Coefficients (RPCs) using KOMPSAT-3A imagery and to reduce the geolocation error using minimum ground control points (GCPs). To estimate the new RPCs, the physical sensor model fitted to KOMPSAT-3A imagery was utilized and virtual GCPs over the study area were created. The size of the virtual grid used was 20x20x20. To remove the sensor-related errors in physical sensor model, three different image correction models (image coordinate translation model, shift and drift model, and affine transformation model) were additionally applied. We evaluated our proposed method in two areas within Korea, one in urban (Seoul) and one in rural (Goheung) areas. The results showed that there was a significant improvement after applying the suggested approach in the two areas. The image coordinate translation model is suggested in terms of GCP requirement and expected errors estimated from the error propagation analysis using Gauss–Markov Model (GMM).  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   

On the Structure of Symplectic Mappings. The Fast Lyapunov Indicator: a Very Sensitive Tool     

Claude Froeschlé  Elena Lega 《Celestial Mechanics and Dynamical Astronomy》2000,78(1-4):167-195

It is already known (Froeschlé, Lega and Gonczi, 1997) that the Fast Lyapunov Indicator (FLI), that is the computation on a relatively short time of the largest Lyapunov indicator, allows to discriminate between ordered and weak chaotic motion. We have found that, under certain conditions, the FLI also discriminates between resonant and non-resonant orbits, not only for two-dimensional symplectic mappings but also for higher dimensional ones. Using this indicator, we present an example of the Arnold web detection for four and six-dimensional symplectic maps. We show that this method allows to detect the global transition of the system from an exponentially stable Nekhoroshevs like regime to the diffusive Chirikovs one.  相似文献   

多项式的井间地震速度场反演方法     

乐友喜  曾有良 《物探与化探》2006,30(2):169-171,174

基于契比雪夫多项式的旅行时反演方法,不需进行入射角扫描,首先用多项式表示出深度和慢度,计算出从源点到接收点的旅行时间,通过与实际时间的误差修改模型参数,经过反复迭代,最终得到地下复杂构造的界面形态和速度变化。与网格化速度反演方法相比,计算的未知数少,对初始地质模型的依赖性小。模型试算表明,在初始地质模型与实际地质模型差别较大时,仍能取得比较好的反演结果。  相似文献   

Computation and analysis Computation and analysis of the geomagnetic field model in China and its adjacent area for 2003     

顾左文  安振昌  高金田  詹志佳  姚同起  韩炜  陈斌 《地震学报(英文版)》2006,(2)

  相似文献   

Buoyancy and The Sensible Heat Flux Budget Within Dense Canopies   总被引：1，自引：8，他引：1  

D. Cava  G. G. Katul  A. Scrimieri  D. Poggi  A. Cescatti  U. Giostra 《Boundary-Layer Meteorology》2006,118(1):217-240

In contrast to atmospheric surface-layer (ASL) turbulence, a linear relationship between turbulent heat fluxes (F_T) and vertical gradients of mean air temperature within canopies is frustrated by numerous factors, including local variation in heat sources and sinks and large-scale eddy motion whose signature is often linked with the ejection-sweep cycle. Furthermore, how atmospheric stability modifies such a relationship remains poorly understood, especially in stable canopy flows. To date, no explicit model exists for relating F_T to the mean air temperature gradient, buoyancy, and the statistical properties of the ejection-sweep cycle within the canopy volume. Using third-order cumulant expansion methods (CEM) and the heat flux budget equation, a “diagnostic” analytical relationship that links ejections and sweeps and the sensible heat flux for a wide range of atmospheric stability classes is derived. Closure model assumptions that relate scalar dissipation rates with sensible heat flux, and the validity of CEM in linking ejections and sweeps with the triple scalar-velocity correlations, were tested for a mixed hardwood forest in Lavarone, Italy. We showed that when the heat sources (S_T) and F_T have the same sign (i.e. the canopy is heating and sensible heat flux is positive), sweeps dominate the sensible heat flux. Conversely, if S_T and F_T are opposite in sign, standard gradient-diffusion closure model predict that ejections must dominate the sensible heat flux.  相似文献