(A) study on the stochastic model for nuclide transport in the fractured porous rock using continuous time markov process = 균열 다공성 암반에서 연속시간 마코프 프로세스를 이용한 추계적 핵종이동에 관한 연구

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As a newly approaching model, a stochastic model using continuous time Markov process for nuclide decay chain transport of arbitrary length in the fractured porous rock medium has been proposed, by which the need for solving a set of partial differential equations corresponding to various sets of side conditions can be avoided. Once the single planar fracture in the rock matrix is represented by a series of finite number of compartments having regionwise constant parameter values in them, the medium is continuous in view of various processes associated with nuclide transport but discrete in medium space and such geologic system is assumed to have Markov property, since the Markov process requires that only the present value of the time dependent random variable be known to determine the future value of random variable, nuclide transport in the medium can then be modeled as a continuous time Markov process. Processes that are involved in nuclide transport are advective transport due to groundwater flow, diffusion into the rock matrix, adsorption onto the wall of the fracture and within the pores in the rock matrix, and radioactive decay chain. The transition probabilities for nuclide from the transition intensities between and out of the compartments are represented utilizing Chapman-Kolmogorov equation, through which the expectation and the variance of nuclide distribution for each compartment or the fractured rock medium can be obtained. Some comparisons between Markov process model developed in this work and available analytical solutions for one-dimensional layered porous medium, fractured medium with rock matrix diffusion, and porous medium considering three member nuclide decay chain without rock matrix diffusion have been made showing comparatively good agreement for all cases. To verify the model developed in this work another comparative study was also made by fitting the experimental data obtained with NaLS and uranine running in the artificial fr...
Advisors
Lee, Kun-Jairesearcher이건재researcher
Description
한국과학기술원 : 원자력공학과,
Publisher
한국과학기술원
Issue Date
1995
Identifier
101876/325007 / 000835598
Language
eng
Description

학위논문(박사) - 한국과학기술원 : 원자력공학과, 1995.8, [ xiii, 136 p. ]

Keywords

Markov Process; Nuclide Transport; Fractured Rock; Repository; 처분장; 균열암반; 마코프프로세스; 핵종이동

URI
http://hdl.handle.net/10203/48844
Link
http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=101876&flag=dissertation
Appears in Collection
NE-Theses_Ph.D.(박사논문)
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