CAJ | 학술논문

为了分析推理公式对代入数据误差的传递作用,应用数值分析中关于误差分析的原理和方法,推导了计算小流域设计洪峰流量过程的北京水科院推理公式中,关于汇流参数、河流纵比降、损失参数和暴雨参数等的条件数.这些条件数的大小可以表征推理公式在计算洪峰流量过程中对代入数据误差的传递作用的强弱.通过3个实际算例,分别计算并绘出了各个条件数随代入数据扰动幅度的变化曲线.分析可知:(1)暴雨参数 n和汇流参数m的精度对于计算洪峰流量结果的精度影响较大;(2)损失参数μ和河流纵比降I的精度对洪峰流量计算结果的精度影响较小.
위료분석추리공식대대입수거오차적전체작용,응용수치분석중관우오차분석적원리화방법,추도료계산소류역설계홍봉류량과정적북경수과원추리공식중,관우회류삼수、하류종비강、손실삼수화폭우삼수등적조건수.저사조건수적대소가이표정추리공식재계산홍봉류량과정중대대입수거오차적전체작용적강약.통과3개실제산례,분별계산병회출료각개조건수수대입수거우동폭도적변화곡선.분석가지:(1)폭우삼수 n화회류삼수m적정도대우계산홍봉류량결과적정도영향교대;(2)손실삼수μ화하류종비강I적정도대홍봉류량계산결과적정도영향교소.
@@@@In order to analyze the transmission function of the rational formula on the substituting data error ,the principles and methods of error analysis in numerical analysis were applied to derive the condition numbers of the confluence parameter ,river longitudinal slope ,loss parameter ,and rainstorm parameter when the IWHR rational formula was used to calculate the design peak flow of small watershed .The magnitudes of these condition numbers can characterize the intensity of transmission function of the rational formula on the data error in computing the design peak flow .In this paper ,three practical examples were intro‐duced to obtain the variation curves of each condition number with the disturbance of substituting data .The results showed that :1) the accuracies of rainstorm parameter n and confluence parameter m have large effects on the accuracy of the results of peak flow ;and 2) the accuracies of loss parameter μand river longitudinal slope I have low impacts on the accuracy of the re‐sults of peak flow .