Determination of the fractal dimension using turbidimetric techniques. Application to aggregating protein systems

Optimal Density Determination of Bouguer Anomaly Using Fractal Analysis (Case of study: Charak area,IRAN)

JOURNAL OF ADVANCES IN PHYSICS ◽

10.24297/jap.v1i1.2140 ◽

2005 ◽

Vol 1 (1) ◽

pp. 21-24

Author(s):

Hamid Reza Samadi

Keyword(s):

Surface Roughness ◽

Fractal Dimension ◽

Fractal Analysis ◽

Fractal Geometry ◽

Host Rock ◽

Bouguer Anomaly ◽

Research Area ◽

Density Difference ◽

Optimal Density

In exploration geophysics the main and initial aim is to determine density of under-research goals which have certain density difference with the host rock. Therefore, we state a method in this paper to determine the density of bouguer plate, the so-called variogram method based on fractal geometry. This method is based on minimizing surface roughness of bouguer anomaly. The fractal dimension of surface has been used as surface roughness of bouguer anomaly. Using this method, the optimal density of Charak area insouth of Hormozgan province can be determined which is 2/7 g/cfor the under-research area. This determined density has been used to correct and investigate its results about the isostasy of the studied area and results well-coincided with the geology of the area and dug exploratory holes in the text area

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Estimating the Effect of Fractal Dimension on Representative Elementary Volume of Randomly Distributed Rock Fracture Networks

Geofluids ◽

10.1155/2018/7206074 ◽

2018 ◽

Vol 2018 ◽

pp. 1-13 ◽

Cited By ~ 1

Author(s):

Jing Zhang ◽

Liyuan Yu ◽

Hongwen Jing ◽

Richeng Liu

Keyword(s):

Fractal Dimension ◽

Functional Relationship ◽

Rock Fracture ◽

Representative Elementary Volume ◽

Width Ratio ◽

Elementary Volume ◽

Equivalent Permeability ◽

Length Width ◽

Rock Fracture Networks

The effect of fractal dimension (Df) on the determination of representative elementary volume (REV) was investigated through numerical experimentations, in which a new method was adopted to extract submodels that have different length-width ratios from original discrete facture networks (DFNs). Fluid flow in 1610 DFNs with different geometric characteristics of fractures and length-width ratios was simulated, and the equivalent permeability was calculated. The results show that the average equivalent permeability (KREV) at the REV size for DFNs increases with the increase in Df. The KREV shows a downward trend with increasing length-width ratio of the submodel. A strong exponent functional relationship is found between the REV size and Df. The REV size decreases with increasing Df. With the increment of the length-width ratio of submodels, the REV size shows a decreasing trend. The effects of length-width ratio and Df on the REV size can be negligible when Df≥1.5, but are significant when Df<1.5.

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