地质作用的自组织临床界过程动力学：地质系统在温沌边缘分形生成（下）   总被引：7，自引：3，他引：4  

於崇文 《地学前缘》2000,7(2):555-586

笔者对复杂性科学中的自组织临界性、瞬态混沌、混沌边缘和弱混沌四大理论和研究领域就其发展现状和最近动态作用的巨大耗散动力学的时－空演化这个统一事物的本质的面面观。笔者进一步将四者的相互关系归纳成一个重要垢例题：自然界中开放、远离平衡、相互作用的巨大耗散动力学系统的时－空演化服从“自组织临界过程动力学”并且系统“在混沌边缘分形生长。”地 自然界中的一种既十分重要,又异常复杂的开放、远离平衡、相互作用的  相似文献   

混沌人工鱼群算法在重力坝材料参数反演中的应用   总被引：3，自引：0，他引：3  

宋志宇  李俊杰  汪红宇 《岩土力学》2007,28(10):2193-2196

首先介绍了一种随机搜索优化方法-人工鱼群算法（AFSA）,同时根据混沌（CHAOS）的遍历性和随机性等特点,将混沌系统和人工鱼群算法相结合形成了一种新的融合优化算法-混沌人工鱼群算法（CAFSA）。将混沌人工鱼群算法应用到混凝土大坝材料参数反演中。经算例分析表明,与人工鱼群算法相比较,混沌人工鱼群算法具有收敛快、效率高和结果精度高等优点。从而为解决类似的系统优化和参数识别问题提供了一种新的方法。  相似文献   

淮河流域洪涝变化的耗散性   总被引：2，自引：1，他引：1  

周寅康  王腊春  许有鹏  张捷 《地理研究》2000,19(3):277-282

混沌理论中,人们提出了一些非线性复杂现象的分析方法。在这些方法的启发下,我们曾研究了淮河流域洪涝变化的分形特征和混沌性。在先前研究的基础上,该文以淮河流域洪涝变化为对象,通过表征相空间轨道附近平均收缩(发散)特征的Lyapunov指数,定量地分析和论证了淮河流域洪涝变化的耗散性。淮河流域洪涝变化耗散性的定量论证标志着在地理系统非线性研究方面进行了新的尝试和探索  相似文献   

砂岩强度MTS试验及阶段特征的混沌动力学研究   总被引：2，自引：1，他引：1  

刘传孝 《岩土力学》2004,25(12):1910-1914

采用MTS815.03电液伺服岩石试验系统对三种强度的砂岩进行全应力-应变试验研究,得出试验曲线呈明显的分段特征,曲线的离散性发生于应变软化阶段。通过对试验数据序列的混沌动力学分析得出：随着单向抗压强度的增加,砂岩全应力-应变过程的系统状态由强混沌态逐渐演化到低混沌态,进而质变为较有序的定常态;砂岩峰后应力-应变阶段曲线的线性性质增强,裂隙系统状态由强混沌态向强有序的定常态演化;砂岩峰前阶段的裂隙系统基本呈现弱混沌状态。该试验方法可靠,对砂岩强度阶段特征的混沌分析具有一定的理论意义。  相似文献   

Probabilistic collocation and lagrangian sampling for advective tracer transport in randomly heterogeneous porous media     

Florian Müller  Patrick JennyDaniel W. Meyer 《Advances in water resources》2011,34(12):1527-1538

The Karhunen-Loeve (KL) decomposition and the polynomial chaos (PC) expansion are elegant and efficient tools for uncertainty propagation in porous media. Over recent years, KL/PC-based frameworks have successfully been applied in several contributions for the flow problem in the subsurface context. It was also shown, however, that the accurate solution of the transport problem with KL/PC techniques is more challenging. We propose a framework that utilizes KL/PC in combination with sparse Smolyak quadrature for the flow problem only. In a subsequent step, a Lagrangian sampling technique is used for transport. The flow field samples are calculated based on a PC expansion derived from the solutions at relatively few quadrature points. To increase the computational efficiency of the PC-based flow field sampling, a new reduction method is applied. For advection dominated transport scenarios, where a Lagrangian approach is applicable, the proposed PC/Monte Carlo method (PCMCM) is very efficient and avoids accuracy problems that arise when applying KL/PC techniques to both flow and transport. The applicability of PCMCM is demonstrated for transport simulations in multivariate Gaussian log-conductivity fields that are unconditional and conditional on conductivity measurements.  相似文献   

Approximate general solution of 2-degrees of freedom dynamical systems using `les solutions precieuses'     

C.L. Goudas  K.E. Papadakis  E. Valaris 《Astrophysics and Space Science》2003,286(3-4):461-486

This paper presents the procedure of a computational scheme leading to approximate general solution of the axi-symmetric,2-degrees of freedom dynamical systems. Also the results of application of this scheme in two such systems of the non-linear double oscillator with third and fifth order potentials in position variables. Their approximate general solution is constructed by computing a dense set of families of periodic solutions and their presentation is made through plots of initial conditions. The accuracy of the approximate general solution is defined by two error parameters, one giving a measure of the accuracy of the integration and calculation of periodic solutions procedure, and the second the density in the initial conditions space of the periodic solutions calculated. Due to the need to compute families of periodic solutions of large periods the numerical integrations were carried out using the eighth order, variable step, R-K algorithm, which secured for almost all results presented here conservation of the energy constant between 10^-9 and 10^-12 for single runs of any and all solutions. The accuracy of the approximate general solution is controlled by increasing the number of family curves and also by `zooming' into parts of the space of initial conditions. All families of periodic solutions were checked for their stability. The computation of such families within areas of `deterministic chaos' did not encounter any difficulty other than poorer precision. Furthermore, on the basis of the stability study of the computed families, the boundaries of areas of `order' and `chaos' were approximately defined. On the basis of these results it is concluded that investigations in thePoincaré sections have to disclose 3 distinct types of areas of `order' and 2 distinct types of areas of `chaos'. Verification of the `order'/`chaos' boundary calculation was made by working out several Poincaré surfaces of sections. This revised version was published online in July 2006 with corrections to the Cover Date.  相似文献   

On the Calculation of Lyapunov Indicators with Post-stabilization in a Weyl Field     

Xin Wu  Hong Zhang  Xiao-Sheng Wan Department of Physics  Nanchang University  Nanchang  Department of Astronomy  Nanjing University  Nanjing   《中国天文和天体物理学报》2006,6(2):125-140

We present details of a work aiming at the overestimation of Lyapunov exponents defined by the geodesic deviation equations in the previous work. The geodesic deviation vector with post-stabilization is used to compute the fast Lyapunov indicator, considered to be a very sensitive tool for discrimination between ordered or weakly chaotic motions. We make a detailed study of the dynamics in the superposed Weyl field between a black hole and shell of octopoles by using the fast Lyapunov indicator with the Poincare surface of section. In particular, we examine the effects on the dynamics around the fixed points, of varying one of the three parameters (specific energy E, specific angular momentum L and octopolar moment O), while keeping the other two fixed, and identify the intervals of the varying parameter where the motion is regular or chaotic.  相似文献   

Probabilistic analysis of groundwater and radionuclide transport model from near surface disposal facilities     

K. Geetha Manjari  G. L. Sivakumar Babu 《Georisk: Assessment and Management of Risk for Engineered Systems and Geohazards》2018,12(1):60-73

As per the regulatory requirements controlling the disposal of radioactive waste, the performance of waste disposal facilities needs to be assessed quantitatively using predictive models. This estimates the potential impact of disposal on the environment and public health. Near Surface Disposal Facilities (NSDFs), constructed to contain the low level radioactive waste are considered to model the radionuclide migration from the system to the geo-sphere. The radiation dose experienced by an individual through drinking water pathway is the endpoint of assessment of the model. A three dimensional groundwater contaminant transport model with a decaying source is modelled numerically to determine the radiation dose for short-lived and long-lived radionuclides. The consideration of uncertainties constitutes an intrinsic part of modelling. The uncertain input parameters include porosity, longitudinal dispersivity, transverse dispersivity, diffusion coefficient and distribution coefficient. The uncertainty propagation and quantification is carried out using collocation based stochastic response surface method (CSRSM). To run the simulations for the huge set of input, a code is developed using built-in python interface in the numerical model. The results are processed further to obtain the sensitive parameters affecting the output concentrations. Further, the probability of radiation dose exceeding permissible value is estimated by subset simulation.  相似文献   

A generalized two-disk dynamo model     

Sergey V. Ershov  George G. Malinetskii  Alexander A. Ruzmaikin 《地球物理与天体物理流体动力学》2013,107(1-4):251-277

Abstract

A generalized two-disk dynamo model is considered that includes mechanical friction; this model is intended to simulate in its broad character the behavior of the geodynamo. Fixed points, limit cycles and chaotic attractors are located for different input parameters of the model. The chaotic regimes are of several kinds as are the “routes to chaos”. Several approximate models, helpful for studying the dynamo are discussed. A number of essential differences from the well-known Rikitake dynamo are demonstrated.  相似文献   

深埋煤层应力松弛状态演化试验与动力学分析     

刘传孝  王龙  刘星辉  庄帅  于绍波 《岩土力学》2016,37(6):1588-1596

应用Lyapunov指数法,对试验得到的深埋煤层应力松弛系统演化对应于各级应变水平的时间序列进行分析,科学重构相空间,得到了每一递进应变水平的相轨迹均不重复地围绕各自对应的历史应力中值而顺次演化。采用分形几何学方法进行时间序列分析,定量揭示出煤样应力松弛系统演化的各层次间自相似性,并部分反映了经典力学与非线性科学间的关系。得到了对应各级应变水平系统演化时间序列的非线性动力学评价指标,并判定深埋煤层应力松弛系统为复杂系统且具有典型混沌特征。深埋煤层应力松弛系统演化的混沌程度及复杂程度呈下降规律,煤体内部力学性质弱化因素与强化因素之间竞争最为激烈的阶段,其混沌程度最高,而宏观破坏后系统伴随最低的混沌程度及复杂程度。  相似文献