文章摘要
航空瞬变电磁一维正演的连分式算法研究
Research on continued fraction algorithm for calculating 1-D airborne transient electromagnetic
  
DOI:
中文关键词: 余弦变换  连分式  数值计算  瞬变电磁场
英文关键词: cosine transform  continued fraction  numerical calculation  transient electromagnetic field
基金项目:国家自然科学基金项目(41174104);国家高科技发展计划项目(863-2006AA06A205-5-4,2007AA06Z134);深部探测技术与实验研究专项联合资助(Sinoprobe-03-02-04)
作者单位
龙剑波,强建科 中南大学 地球科学与信息物理学院有色金属成矿预测教育部重点实验室湖南 长沙 410083 
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中文摘要:
      针对快速Hankel变换精度不高的问题,改进了连分式算法,使之能够计算余弦变换,并与快速汉克尔变换算法作了比较,结果表明:无论是计算积分收敛或核函数快速衰减的余弦变换,还是计算核函数震荡增加的发散型Hankel积分时, 连分式算法都具有精度高、计算稳定的特点,而滤波法计算核函数震荡增加的发散型Hankel积分的误差较大.最后,把连分式算法应用于航空瞬变电磁一维正演模拟计算,得到了满意的瞬变响应,其计算精度、速度和稳定性很好,为瞬变电磁模拟计算提供了一种新的计算方法.
英文摘要:
      In terms of low accuracy of fast Hankel transform algorithm, modified-continued fraction algorithm was used to simulate sine or cosine transform, and compared the results with the digital filter (DF) algorithm’s , which shows that when dealing with fast convergent sine transforms or divergent transforms that DF method failed to calculate accurately here, the modified continued fraction algorithm has always a high precision and quite stable results. Then some typical ATEM 1-D modeling problems were calculated by this algorithm, and the results ,which was compared with that by DF algorithm that was based on fast Hankel transform, were quite satisfactory in terms of its accuracy, speed and stability, the result show that this algorithm is a new efficiency method for calculation of transient electromagnetic modeling .
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