본 논문의 목적은 하천 수질모형 시스템이 안정성 및 해감도이론에 의해 이론적으로 어떻게 분석되며, 그 결과 모형화를 위한 수치분석의 신뢰성과 수질 매개변수의 변화에 따른 모형의 민감성을 입증하는 것이다. 무한 Fourier 급수를 이용하여 전개한 안정성이론은 유한차분법을 사용한 모형의 수치해법을 분석하는데 있고, 1부 선형상태벡터식으로 표현되는 민감도이론은 BOD 부하, 유량, 온도와 같은 수질배개변수의 변동효과를 이론적으로 분석하는데 사용되었고, 그 연구 결과는 하천 수질모형시스템의 신뢰성을 파악할 수 있음이 입증되었다.
The purpose of this paper is to study the following ; (1) how the stability and sensitivity of a given stream water quality model can be analyzed theoretically by means of the stability theory and the sensitivity theory, and (2) point out that the results of this study prove that numerical analysis for the given stream water quality model is reliable, and the model is sensitive for the variations of parameters. A stability theory which is described by the infinite Fourier series is used to analyze the numerical scheme of the model. The numerical shheme is used a backward implicit scheme. a sensitivity theory which is described by the first order linear vector equation is used to analyze theoretically the effect of variations of water quality parameters such as BOD loads, flow rate, temperature. The results of sensitivity theory are of general applicability and are presented in a analytical form. The results of this study seems to be satisfactory for the reliability of stream water quality model with respect to the numerical scheme and the variations of the water quality parameters.
