| 重力位余弦变换谱基本特征 |
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| 引用本文： | 张凤旭,孟令顺,张凤琴,杨恕,赵承民.重力位余弦变换谱基本特征[J].吉林大学学报(地球科学版),2006,36(2):274-278. |
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| 作者姓名： | 张凤旭 孟令顺 张凤琴 杨恕 赵承民 |
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| 作者单位： | 1.吉林大学 地球探测科学与技术学院，长春 130026;2.吉林大学 物理学院，长春 130023;3.中国石化集团新星公司 西南石油局第二物探队，四川 德阳 618000;4. 中国石化胜利油田有限公司 河口采油厂，山东 东营 257200 |
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| 基金项目： | 国家油气专项基金
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吉林大学校科研和教改项目 |
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| 摘 要： | 为获得重力异常余弦变换谱的通式，提出并证明了3个定理;利用它们推导了点质量和直立矩形柱体的重力异常余弦变换谱理论公式，同时给出了重力异常余弦变换谱通式。分析了点质量和直立矩形柱体重力异常余弦变换谱的基本特征：点质量二维余弦变换谱等值线呈1/4同心圆形状，等值线随着波数的增大而变稀；直立矩形柱体谱出现了周期性变化的零等值线，该等值线将非零等值线划分为a×b个矩形区域，而且等值线值在各矩形型区域中正负交替变化，随着波数的增大，不同的矩型域中等值线值呈e指数衰减特征。
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| 关 键 词： | 重力位 余弦变换谱 通式 |
| 文章编号： | 1671-5888(2006)02-0274-05 |
| 收稿时间： | 2005-05-04 |
| 修稿时间： | 2005年5月4日 |
Basic Characteristics of Cosine Transform Spectrum of Gravity Potential |
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| ZHANG Feng-xu,MENG Ling-shun,ZHANG Feng-qin,YANG Shu,ZHAO Cheng-min.Basic Characteristics of Cosine Transform Spectrum of Gravity Potential[J].Journal of Jilin Unviersity:Earth Science Edition,2006,36(2):274-278. |
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| Authors: | ZHANG Feng-xu MENG Ling-shun ZHANG Feng-qin YANG Shu ZHAO Cheng-min |
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| Institution: | 1.College of GeoExploration Science and Technology, Jilin University, Changchun 130026, China;2.College of Physics, Jilin University, Changchun 130023, China;3.The Second Geophysical Prospecting Brigade, Southwest Bureau of Petroleum SINOPEC,Deyang,Sichuan 618000，China;4.Hekou Production Plant of Shengli Oilfield Corp, SINOPEC, Dongying,Shandong 257022, China |
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| Abstract: | We proposed and proved three theorems through which the theoretical formula of cosine transform spectrum of gravity anomalies of the point mass and the vertical rectangular-cylinder was deduced in order to obtain the general equation of gravity anomalies.Basic characteristics of cosine transform spectrum were analyzed,where contour lines of 2D cosine transform of point mass present the shape of a quarter of concentric circles and the number of counter become small along with the increasing of wave numbers.The spectrum of vertical rectangular-cylinder put up periodic zero counters which mark off quadrate areas,the values of counter in each areas alternately change between the plus and the minus,and with the increasing of wave number,the values of counter present attenuation character alike e exponent. |
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| Keywords: | gravity potential cosine transform spectrum general equation |
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