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0 时的u 和r / B 取值范围

When the or iginal data has r andom err or s, the H antush equat ion for the fir st kind o f leakag e aquifer system can trans2 fer the er ro rs w hen it is used in the calculations of the dir ect and inv erse pr oblems. T he conditio nal numbers to char acterize the per formance of H antush equat ion hav e been der ived, and the appr ox imate relationship between the er ro rs from the calculat ed re2 sults and err ors from the or ig inal data is determined fo r the dir ect and inver se pro blems. On the basis, the transfer effect s of dif2 fer ent u and r/ B v alues o n the random er ro rs from the o rig inal dat a ar e obtained, the v ariat ion curv es of condit ional numbers for char acter izatio n o f the transfer effects a re plo tted, and the scopes of u and r/ B values ar e determined w hen the direct and inver se pr oblems have / bad per formance0.

国家自然科学基金项目( 11171043)