CAJ | 학술논문

在原始数据具有随机误差的情况下，利用第一类越流补给含水层条件下的汉土什公式进行正逆问题计算时，公式本身对误差具有传递作用。采用数学方法推导出了用于描述汉土什公式性态的条件数，建立了正逆问题计算结果误差与原始数据误差间的近似关系。据此，得出了计算过程中不同的 u 和 r/B 值对原始数据所具有的随机误差的传递作用，绘制了相应的描述传递作用强弱的条件数的变化曲线，从而确定了正逆计算问题属于“病态”时的 u和 r/B 取值范围。
재원시수거구유수궤오차적정황하，이용제일류월류보급함수층조건하적한토십공식진행정역문제계산시，공식본신대오차구유전체작용。채용수학방법추도출료용우묘술한토십공식성태적조건수，건립료정역문제계산결과오차여원시수거오차간적근사관계。거차，득출료계산과정중불동적 u 화 r/B 치대원시수거소구유적수궤오차적전체작용，회제료상응적묘술전체작용강약적조건수적변화곡선，종이학정료정역계산문제속우“병태”시적 u화 r/B 취치범위。
When the original data has random errors,the Hantush equation for the first kind of leakage aquifer system can trans-fer the errors when it is used in the calculations of the direct and inverse problems.The conditional numbers to characterize the performance of Hantush equation have been derived,and the approximate relationship between the errors from the calculated re-sults and errors from the original data is determined for the direct and inverse problems.On the basis,the transfer effects of dif-ferent u and r/B values on the random errors from the original data are obtained,the variation curves of conditional numbers for characterization of the transfer effects are plotted,and the scopes of u and r/B values are determined when the direct and inverse problems have “bad performance”.