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fractal growth
相关语句
  分形生长
    DYNAMICS OF SELF-ORGANIZED CRITICAL PROCESSES OF GEOLOGICAL PROCESSES—FRACTAL GROWTH OF GEOSYSTEMS AT THE EDGE OF CHAOS
    地质作用的自组织临界过程动力学——地质系统在混沌边缘分形生长(下)
短句来源
    FRACTAL GROWTH OF ORE-FORMING DYNAMICAL SYSTEMS AT THE EDGE OF CHAOSA NEW METALLOGENY AND METHODOLOGY (First half)
    成矿动力系统在混沌边缘分形生长——一种新的成矿理论与方法论(上)
短句来源
    FRACTAL GROWTH OF ORE-FORMING DYNAMICAL SYSTEMS AT THE EDGE OF CHAOSA NEW METALLOGENY AND METHODOLOGY (Second half)
    成矿动力系统在混沌边缘分形生长——一种新的成矿理论与方法论(下)
短句来源
    Fractal Growth of Ore-Forming Dynamic Systems at the Edge of Chaos --A New Metallogeny and Methodology
    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
短句来源
    Fractal Growth Dynamics of Auriferous Quartz Veins in the Woxi Au—Sb—W Deposit, Western Hunan Province, China
    湘西沃溪金锑钨矿床含金石英脉的分形生长动力学
短句来源
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  “fractal growth”译为未确定词的双语例句
    The fractal growth of cracks is an self organized critical phenomenon, and is of the property of dynamics of avalanches.
    裂隙生长是一种自组织临界现象 ,矿脉起源于微裂隙发展而成的张性裂隙 ,并最终形成脉系。
短句来源
    Moreover, possible fractal growth dynamic mechanism of quartz veins is also discussed. The results of fractal analysis indicate that the fractal dimension Dr of thickness vs. length varies from 0.4070 to 1.0784 and the values are directly proportional to the average thickness.
    分析结果表明 ,石英脉长度厚度关系的分维值 Dr 在 0 .4 0 70到 1.0 784之间 ,Dr 值与相应石英脉的平均厚度呈明显正相关关系 ,相关系数为 0 .6 6 36。
短句来源
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  fractal growth
These cluster growth pathways were compared with the fractal growth mechanisms of colloidal particles.
      
The results for different stages of fractal growth within the first-order nonlinear approximation are found.
      
Theassembly of the individual parallelograms and aseries of glues and protecting groups appear toensure the fractal growth of the system in twodimensions.
      
The fractal growth of fatigue defects in materials
      
The concept of fractal growth and form offers novel approaches to understanding morphogenesis and function from the level of the gene to the organism.
      
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Metallogenic system is of nested fractal structure, and its ore forming capacity is constrained by the transmission of litho pore system. The cluster characterizes the distribution of ore deposits and ore veins. The number of ore deposits and ore veins increases after Gutenberg Richter Law from early to late. The fractal dimensions of high content ore veins are lower than that of low content ore veins, while the fractal dimensions of ore forming crack systems are higher than that of unmineralized crack systems....

Metallogenic system is of nested fractal structure, and its ore forming capacity is constrained by the transmission of litho pore system. The cluster characterizes the distribution of ore deposits and ore veins. The number of ore deposits and ore veins increases after Gutenberg Richter Law from early to late. The fractal dimensions of high content ore veins are lower than that of low content ore veins, while the fractal dimensions of ore forming crack systems are higher than that of unmineralized crack systems. The fractal growth of cracks is an self organized critical phenomenon, and is of the property of dynamics of avalanches. The ore veins originated from tension cracks formed and developed from microcrack, and finally become vein system. Super large ore deposits are at the edge of chaos, the fractal dimensions of their crack system are at the self organized critical fractal state(5~125km, D ≈1 5;0 5~20km, D ≈1 3;1~100cm, D ≈1 5;0 0036~0 18cm, D =1 28~1 39).Ore forming elements were transported through diffusion of themselves and percolation of fluids.The differences in diffusive rate caused the ordering of transportation route,and the flowing of fluids engendered ore forming of gold and metallic sulfide on the interface. The self ordered effect of density distribution of ore deposits guaranteed the organized levels of metallogenic system. The computer simulation of transformation reaction ore forming dynamics tested and verified the evolutionary model of fractal veins and self ordered effect.

成矿系统具有嵌套分形结构 ,岩石孔隙结构的传输性质制约着聚矿功能的实现。矿床(脉 )群聚分形分布特征明显 ,数量随时代先后呈幂律增长 ,成矿裂隙系统分维值大 ,高含量矿脉分维值低 ,这为隐伏矿床 (体 )预测提供了依据。裂隙生长是一种自组织临界现象 ,矿脉起源于微裂隙发展而成的张性裂隙 ,并最终形成脉系。超大型矿床的裂隙系统表现为临界分维状态 (5~ 12 5km ,D≈ 1 5;0 5~ 2 0km ,D≈ 1 3;1~ 10 0cm ,D≈ 1 5;0 0 0 36~ 0 18cm ,D =1 2 8~1 39)。成矿元素运移通过扩散和渗流实现 ,扩散速率的差异性导致运移路径的有序性 ,流体流动导致金及金属硫化物在界面处发生反应而沉淀成矿 ,矿床密度分布随矿化中心距离增大而减小的自有序效应保证了成矿系统的组织层次性。输运反应耦合成矿动力学计算机模拟验证了分形脉体演化模式和自有序效应。

The author analyzed systematically the present status of the four research areas of self\|organized criticality, transient chaos, the edge of chaos and weak chaos in the science of complexity and concluded that, the four research areas are actually different approaches for probing into the essence of the same problem—the spatio\|temporal evolution of open, far\|from\|equilibrium, interacting, large, dissipative dynamical systems in nature. The author further summarized the interrelationships among the four areas...

The author analyzed systematically the present status of the four research areas of self\|organized criticality, transient chaos, the edge of chaos and weak chaos in the science of complexity and concluded that, the four research areas are actually different approaches for probing into the essence of the same problem—the spatio\|temporal evolution of open, far\|from\|equilibrium, interacting, large, dissipative dynamical systems in nature. The author further summarized the interrelationships among the four areas into an important proposition: the spatio\|temporal evolution of open, far\|from\|equilibrium, interacting, large, dissipative dynamical systems in nature complies to the \!dynamics of self\|organized critical processes\", and \!the systems grow fractally at the edge of chaos".Geosystems are both very important and complex open, far\|from\|equilibrium, interacting, large, dissipative dynamical systems in nature. they possess the innate, essential attribute of self\|organized criticality. Their spatio\|temporal behaviors obey the dynamics of self\|organized critical processes of geological processes. Geosystems are situated in the transitional spatio\|temporal domains between order and chaos, i.e., at the edge of chaos. They are in the weakly chaotic dynamic states, in which regular and chaotic motions coexist and mix up. And geosystems grow fractally at the edge of chaos.The author deduced and integrated these aspects into a theory of complexity in geosciences named \!Dynamics of self\|organized critical processes of geological processes—fractal growth of geosystems at the edge of chaos\", which is widely applicable to variable geosystems. The contents of this theory are divided into six parts, they are: (1) Self\|organized criticality, transient chaos, the edge of chaos and weak chaos; (2) The coupling and interactions as well as the coherence and cooperation of multicomponents;(3) The fractal dynamics of evolutionary processes;(4) The spatio\|temporal structures of processes;(5) The dynamics of fractal growth;(6) The theory of finite\|size scaling.

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系统和深入的剖析后得出结论 ,认为以上四者是对自然界中开放、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的命题 :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”。地质系统是自然界中的一种既十分重要 ,又异常复杂的开放、远离平衡、相互作用的巨大耗散动力学系统。它具有自组织临界性的内禀基本属性。它的时空行为服从地质作用的自组织临界过程动力学。地质系统位于有序和混沌之间的过渡时空域 ,即混沌边缘 ,其中系统呈规则与混沌运动并存和混合的弱混沌动力学状态 ,并且地质系统在混沌边缘分形生长。将上述命题演绎和整合成一种广泛适用于地质系统的地球科学的复杂性理论 ,名之为 :“地质作用的自组织临界过程动力学———地质系统在混沌边缘分形生长” ,并将其内容归纳成 6部分 :(1)自组织临界性、瞬态混沌、混沌边缘和弱混沌 ,(2 )多组分的耦合与相互作用及其相干与协同 ,(3)演化过...

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系统和深入的剖析后得出结论 ,认为以上四者是对自然界中开放、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的命题 :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”。地质系统是自然界中的一种既十分重要 ,又异常复杂的开放、远离平衡、相互作用的巨大耗散动力学系统。它具有自组织临界性的内禀基本属性。它的时空行为服从地质作用的自组织临界过程动力学。地质系统位于有序和混沌之间的过渡时空域 ,即混沌边缘 ,其中系统呈规则与混沌运动并存和混合的弱混沌动力学状态 ,并且地质系统在混沌边缘分形生长。将上述命题演绎和整合成一种广泛适用于地质系统的地球科学的复杂性理论 ,名之为 :“地质作用的自组织临界过程动力学———地质系统在混沌边缘分形生长” ,并将其内容归纳成 6部分 :(1)自组织临界性、瞬态混沌、混沌边缘和弱混沌 ,(2 )多组分的耦合与相互作用及其相干与协同 ,(3)演化过程的分形动力学 ,(4 )作用的时空结构 ,(

The metallogeny put forward in this paper is the summary report of systematic researches carried out by the author for several decades on basic paradigms of six metallogenic districts at the Yangtze Cratonic Rim by combining the theory of complexity and science of nonlinearity with ore geology. Investigation shows that the ore-forming systems are open, far-from-equilibrium and spatio-temporally extended dynamical systems. They possess the inherent fundamental attributes of complexity and self-organized criticality,...

The metallogeny put forward in this paper is the summary report of systematic researches carried out by the author for several decades on basic paradigms of six metallogenic districts at the Yangtze Cratonic Rim by combining the theory of complexity and science of nonlinearity with ore geology. Investigation shows that the ore-forming systems are open, far-from-equilibrium and spatio-temporally extended dynamical systems. They possess the inherent fundamental attributes of complexity and self-organized criticality, and grow fractally at the edge of chaos. The author takes the natural philosophical reasoning of "geological processes and spatio-temporal structures are the essence and crux of geological phenomena" as the fundamental foothold, and sets up a universal framework for the theory. Then it is realized and specified by three major constituent parts, i.e. (1)dynamical attributes of ore deposits,(2)fields of ore geology and (3) evolution of ore-forming systems. They embody the integral coupling and intermingling of the trinity of the ore-forming processes (the core of which is the dynamics of ore-forming processes),the spatial structures (fields of ore geology) and temporal structures (evolution of ore-forming systems). Thereby the metallogeny is endowed with comprehensiveness. Furthermore, five determinative criteria for the "Fractal growth of ore-forming dynamical systems at the edge of chaos" and ten corresponding characteristics of dynamical behavior are derived on this basis. Finally, the author advances the proposition of "the local activation of ore-forming materials induces the onset of ore formation", poses its four important scientific problems, and takes "cellular nonlinear networks" (CNN) as paradigms of complexity to reveal quantitively the onset of ore formation, and to localize precisely ore deposits at the edge of chaos. The new metallogeny would thereby be extended, deepened and developed.The new metallogeny raises the conventional ore geology to the level of the science of nonlinearity and complexity with respect to the study of ore genesis and regularity of ore formation.

“成矿动力系统在混沌边缘分形生长”理论是笔者将复杂性理论及非线性科学与矿床地质学相结合 ,对中国扬子古陆周缘六个矿集区的基本范式进行长期系统研究所取得的总结性成果。研究指出 ,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。该理论以“地质作用与时 空结构是一切地质现象的本质与核心”的自然哲学理念作为根本立足点 ,建立起一种具有普适性的理论框架。然后进一步将其具体化为三大组成部分 ,即 ( 1)矿床的动力学属性 ,( 2 )矿床地质学场 ,( 3 )成矿系统的演化。体现了成矿作用 (其核心为成矿作用动力学 )、空间结构 (矿床地质学场 )和时间结构 (成矿系统的演化 )三位一体的整体耦合与交织 ,从而又使该理论具有包容性。在此基础上进而归纳出“成矿动力系统在混沌边缘分形生长”的 5项判定准则以及表征这些准则的 10项相应的动力学行为特征。最后笔者提出“矿质局部活化导致成矿的发生”的命题 ,拟定了“成矿的发生”的重要科学问题 ,以“元胞非线性网络”(CNN)作为复杂性的范式 ,定量揭示成矿的发生 ,并对矿床在混沌边缘作精确定位 ,对“成矿...

“成矿动力系统在混沌边缘分形生长”理论是笔者将复杂性理论及非线性科学与矿床地质学相结合 ,对中国扬子古陆周缘六个矿集区的基本范式进行长期系统研究所取得的总结性成果。研究指出 ,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。该理论以“地质作用与时 空结构是一切地质现象的本质与核心”的自然哲学理念作为根本立足点 ,建立起一种具有普适性的理论框架。然后进一步将其具体化为三大组成部分 ,即 ( 1)矿床的动力学属性 ,( 2 )矿床地质学场 ,( 3 )成矿系统的演化。体现了成矿作用 (其核心为成矿作用动力学 )、空间结构 (矿床地质学场 )和时间结构 (成矿系统的演化 )三位一体的整体耦合与交织 ,从而又使该理论具有包容性。在此基础上进而归纳出“成矿动力系统在混沌边缘分形生长”的 5项判定准则以及表征这些准则的 10项相应的动力学行为特征。最后笔者提出“矿质局部活化导致成矿的发生”的命题 ,拟定了“成矿的发生”的重要科学问题 ,以“元胞非线性网络”(CNN)作为复杂性的范式 ,定量揭示成矿的发生 ,并对矿床在混沌边缘作精确定位 ,对“成矿动力系统在混沌边缘”理论作进一步的延伸、深化与发展。该理论在矿?

 
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