Fractal Features of Fan-Shaped Depositional Bodies
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摘要: 扇形沉积体是我国内陆及沿海地区中、新生代含油气盆地中的重要油气勘探目标,对其平面分布形态和内部结构参数特征的定量表征是油气勘探部门极为关注的问题。随着分形几何理论在沉积学领域应用的日趋广泛,使人们可从新的角度来考虑这一问题的解决方法。扇形沉积体的生长是一个复杂的非线性动力学过程,且具有分形特征。分维数的大小反映了沉积体外部形态和内部结构的复杂程度,分维数的变化幅度预示着构造和沉积背景的某些信息。将分形和混沌理论相结合,也许是实施扇形沉积体非线性动力学建模和模拟的重要途经之一。
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关键词:
- 扇形沉积体 /
- 分形 /
- 分维数 /
- 非线性动力学-分形模拟
Abstract: Fan-shaped depositional bodies are those mainly composed of terrigenous coarse deposits and fan-shaped in morphology, including alluvial fan, fan delta, delta and subaqueous fan and so on. They are important exoil-gas targets in oil and gas-bearing basins in Mesozoic and Cenozoic interior and offshore in China, which are the problems deeply concerned with by oil-gas exploration department to show quantitatively the features of their morphological distribution and inner structure parameters. Recent researches on fan-shaped bodies are results combining static, qualitative and megascopic methods with dynamic, quantitative and microscopic approaches. Great efforts were made in quantitative modeling and in simulating of structural parameters of sedimentary bodies, but there have been still few of published documents about how to build morphological and simulating models of sedimentary bodies up to now. With fractal theory applied widely to sedimentology , it may be considered from a new point of view to solve the problems. The growing of fan-shaped depositional bodies is a complex nonlinear dynamics process and a fractal. Fractal dimension may reflect the complexity of their outer morphology and inner structure, and predict some information about tectonic and depositional setting. It will be one of the most important ways to realize nonlinear dynamics building models and simulation of depositional bodies combined fractal with chaos theory. On the bases of analyses of sedimentological features of more than twenty faulted basins at home and abroad, the paper probes the growing dynamic process of fan-shaped depositional bodies, summarizes their fractal features, and establishes the model of shape fractal growing and structural fractal. The structural fractal box dimensions are determined. Simulations of morphologies of the fan-shaped bodies are made by fractal, and of their structures by fractal-Kringing. The main conclusions are as follows: 1.Fan-shaped sedimentary bodies are complex nonlinear systems. Their forming processes are both a depositional dynamics of growing, crevassing, abandoning and a complex stochastic, nonlinear dynamics. Crevasses can be viewed as a kind of bifurcation and fluctuation; the choice of branches and the interaction of the fluctuation quantities are the important causes to form the complex and various morphological features and inner structures of fan-shaped bodies. 2.The box dimension of morphology fractal of a fan-shaped body is generally 1.1-1.4, that of structure fractal is generally 1.25-1.45. 3.The different box dimensions show different tectonic and depositional setting. Fractal dimensions represents the structural anisotropism of sedimentary bodies. 4.Fractal-Kriging proves to be useful method for modeling morphology and inner structures of sedimentary bodies, it can better reveal the local features and anisotropic change in the bodies by adjusting fractal dimension D, horizontal and vertical range. -
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