• Title/Summary/Keyword: Fractal dimensionality theory

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Comparison in Porous Structure and Water Eetention with the Different Porous Media by Fractal Fragmentation Model (다공성 매체의 차원 분열 모델 적용에 의한 토양과 상토의 공극분포와 보수력 비교)

  • Oh, Dong-Shig;Kim, Lee-Yul;Jung, Yeong-Sang
    • Korean Journal of Soil Science and Fertilizer
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    • v.40 no.3
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    • pp.189-195
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    • 2007
  • Using fractal dimensionality theory proposed by Riew and Sposito (1991), we attempted to analyze quantitatively the characteristics of porous distribution for built-in soils in the mini-lysimeter and artificial seed-bed media. The 2" stainless core soil samples were taken from lysimeter soils. Artificial seed-bed media were compacted in the acrylic core filled with raw materials consisted of cocopeat, zeolite and perlite. N (Constant number of partitioned group size smaller media volumes) and r (Self-similarity ratio) parameters consisting of fractal dimension D=log(N)/log(1/r) were obtained by Excel Programme using the Riew and Sposito's fractal model. The pore distribution of tested media was screened in pore size and its occurring frequency. The results reveal that the distribution range of pores is wider in the lysimeter soils than in the seed-bed media, while average size of pores in the media is smaller in lysimeter core soils than in seed-bed media.

Hydrogen Bond Effect on Chain Behavior at the Semidilute Regime of Poly(vinyl alcohol) Aqueous Solution (폴리(비닐 알코올) 수용액의 준희박농도 영역에서 사슬 거동에 대한 수소결합의 효과)

  • Park Il-Hyun;Yu Young-Chol;Park Ki-Sang;Lee Dong-Il;Lyoo Won-Seok
    • Polymer(Korea)
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    • v.30 no.3
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    • pp.271-278
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    • 2006
  • In order to investigate the structure and dynamics of atatic poly (vinyl alcohol) (PVA)/water system, laser light scattering experiment has been done in the semi-dilute concentration regime at $25^{\circ}C$. The scattering intensity I(q) can be analyzed with the fractal equation of $I(q){\sim}q^{-m}$ instead of Onstein-Zernike type equation. The fractal dimensionality m was found to be constant after reaching the plateau value of $m=2.6{\pm}0.3$ above C=3wt%. The time correlation function of dynamic light scattering has always two different modes such as fast mode and slow one. The cooperative diffusion of fast mode showed concentration independence contrary 4o the reptation theory's concentration dependent exponent of 3/4. The slow mode can be interpreted as the motion of large scale heterogeneities and its strong concentration dependence is apparent with a large negative exponent of -3.0. It is considered that the stereo-regular arrangement with four successive meso units of -OH plays as a key role in forming such heterogeneity.