• 제목/요약/키워드: Least-squares migration

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어드조인트 연산으로서의 역시간 구조보정 연산자 유도 (Derivation of Reverse-Time Migration Operator as Adjoint Operation)

  • 지준
    • 지구물리와물리탐사
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    • 제10권2호
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    • pp.111-123
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    • 2007
  • 본 논문에서는 파동장 외삽(wavefield extrapolation)의 방향을 단순히 역시간(reverse time)으로 하여 적용하는 기존의 역시간 구조보정법(reverse time migration method)이 아닌, 묵시적으로 가정된 순방향 모델링(forward modeling) 연산자에 대한 정확한 어드조인트(adjoint) 연산자로서의 역시간 구조보정 연산자를 유도한다. 어드조인트 연산자를 얻는 방법으로는 우선 해당하는 순방향 연산자를 명시적인 행렬식의 형태로 정의하고 이에 대한 전치행렬식을 구한 후, 이러한 전치행렬식에 해당하는 연산자를 정의하는 접근법을 사용하였다. 정확한 어드조인트 관계에 있는 역시간 구조보정 연산자는 기존의 역시간 구조보정 연산자와 마찬가지로 구조보정의 목적으로 사용될 수 있을 뿐 아니라, 최소자승 구조보정(Least-squares migration)과 같은 역산을 통해서 지하구조 영상화를 할 때 필요로 하는 어드조인트 연산자를 정확하게 구현 할 수 있어 보다 정확한 역산 결과를 얻게 해준다.

총체적 인적자본형성의 경제성장에 대한 기여도 분석

  • 송위섭;이기재
    • 한국인구학
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    • 제14권1호
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    • pp.1-25
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    • 1991
  • The Purpose of this study is to analyze the contribution of the total human capital formation to economic growth in Korea. In order to assess the contribution of the total human capital formation to economic growth, aggregate production functions are estimated using two ways of ordinary least squares and polynomial distributed lags based on 1955 - 1988 time series data in Korea. The total amount of investment in human capital is calculated by adding each amount of investment in formal education, vocational training, inter-provincial migration, and health in pecuniary terms. The findings of this study could be summarized as follows ; (1) If we enumerate the variables in good order according to the importance, we get the following ; namely, total number of labor force, inter-provincial migration, vocational training, health, physical capital, and formal education. (2) The contribution of the human capital to economic growth is much more larger than that of physical capital. In particular, it appears that inter-provincial migration and vocational training make a great contribution to economic growth. (3) It appears that investment in formal education has a continuous effect for fifteen years and maximum effect is observed approximately eight years later. In the case of vocational training, the effect of investment lasts for about 12-14 years and its effect on economic growth reaches maximum with the passage of seven to eight years after initial investment. (4) Investment in vocational training contributes more in the long run compared with investment in formal education. The effect of investment in formal education lasts longer than that of vocational training, while the effect of investment in vocational training is considerably larger in the short run compared with the investment in formal education.

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Phase inversion of seismic data

  • Kim, Won-Sik;Shin, Chang-Soo;Park, Kun-Pil
    • 한국지구물리탐사학회:학술대회논문집
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    • 한국지구물리탐사학회 2003년도 Proceedings of the international symposium on the fusion technology
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    • pp.459-463
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    • 2003
  • Waveform inversion requires extracting a reliable low frequency content of seismic data for estimating of the low wave number velocity model. The low frequency content of the seismic data is usually discarded or neglected because of the band-limited response of the source and the receivers. In this study, however small the spectral of the low frequency seismic data is, we assume that it is possible to extract a reliable phase information of the low frequency from the seismic data and use it in waveform inversion. To this end, we exploit the frequency domain finite element modeling and source-receiver reciprocity to calculate the $Frech\`{e}t$ derivative of the phase of the seismic data with respect to the earth model parameter such as velocity, and then apply a damped least squares method to invert the phase of the seismic data. Through numerical example, we will attempt to demonstrate the feasibility of our method in estimating the correct velocity model for prestack depth migration.

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