کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8253308 | 1533612 | 2018 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Unreliable determination of fractal characteristics using the capacity dimension and a new method for computing the information dimension
ترجمه فارسی عنوان
تعیین غیر قابل اعتماد ویژگی های فراکتال با استفاده از ابعاد ظرفیت و یک روش جدید برای محاسبه ابعاد اطلاعات
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کلمات کلیدی
ابعاد اطلاعات، ابعاد ظرفیت، فراکتال، عدم اطمینان، جین هو، عیب،
موضوعات مرتبط
مهندسی و علوم پایه
فیزیک و نجوم
فیزیک آماری و غیرخطی
چکیده انگلیسی
Fractal theory has been widely applied in a variety of disciplines to understand the theory behind chaotic phenomena based on internal self-similarity. In this study, three ideal geological models are used to analyze the unreliability of the capacity dimension in the fractal calculation of geological bodies with different scales. Additionally, by varying the side length r of the statistical units, the geological meanings of the fractal dimension D and the correlation coefficient R2 are discussed. The points of information (POIs) are densely filled by binarizing the geological bodies to black/white. Based on the optimized r of a geological body, an algorithm is derived that divides the grids of the statistical units to determine the probability of the POIs falling into different grids. The information dimension (DI) and R2 of a geological body are obtained by fitting the variable data. An example calculation of the information dimension field in the Jinhu sag is presented to demonstrate the methodology and to test its reliability. The results show that determining the appropriate side length of the statistical unit is key to evaluating the fractal calculation. Compared to the capacity dimension, DI is more reliable in the fractal calculation of multi-scale geological bodies; DI is thereby the preferred fractal dimension to use in the analyses of these types of geological bodies.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Chaos, Solitons & Fractals - Volume 113, August 2018, Pages 16-24
Journal: Chaos, Solitons & Fractals - Volume 113, August 2018, Pages 16-24
نویسندگان
Jingshou Liu, Wenlong Ding, Junsheng Dai, Gang Zhao, Yaxiong Sun, Haimeng Yang,