| 二维位场在有源空间的解析延拓 |
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| 引用本文： | 黄宗理,郭佳.二维位场在有源空间的解析延拓[J].地球物理学报,2016,59(2):704-710. |
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| 作者姓名： | 黄宗理 郭佳 |
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| 作者单位： | 1. 中国地质科学院地球深部探测中心, 北京 100035;2. 地下信息探测技术与仪器教育部重点实验室(中国地质大学, 北京), 北京 100083 |
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| 基金项目： | 国家深部探测技术与实验研究专项(SinoProbe-08)资助. |
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| 摘 要： | 位场的向下延拓对重、磁等位场资料的处理与解释具有重要意义,但现有的延拓方法在位场向下接近场源时会产生剧烈震荡,计算过程很不稳定,而且理论上都不能越过场源.本文在复数域里定义了一个具有位场和几何双重特性的新函数PFGR,提出了一套新的延拓方法,在理论上实现了位场在包含场源的下半空间里的解析延拓,经过模型试算验证,表明该方法可以延拓越过场源,准确确定场源奇点,计算过程稳定,对测量中的随机噪声也具有较好的抗干扰能力.
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| 关 键 词： | 位场 解析延拓 有源空间 |
| 收稿时间： | 2014-09-16 |
Analytical continuation of the two-dimensional potential field in an active space |
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| HUANG Zong-Li,GUO Jia.Analytical continuation of the two-dimensional potential field in an active space[J].Chinese Journal of Geophysics,2016,59(2):704-710. |
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| Authors: | HUANG Zong-Li GUO Jia |
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| Institution: | 1. SinoProbe Center, Chinese Academy of Geological Sciences, Beijing 100035, China;2. Key Laboratory of Geo-detection(China University of Geosciences, Beijing), Ministry of Education, Beijing 100083, China |
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| Abstract: | Downward continuation of the potential field has a great significance in practices. However, the existing downward continuation methods cannot continue a potential field over the source and their numerical calculation is unstable. We define a new function PFGR which has both the potential field and geometry properties. We also present a novel continuation method which can analytically continue the potential field into the lower half-space including the source. This method can steadily continue the potential field over the source. And the test on synthetic data confirmed the reliability of this new method. |
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| Keywords: | Potential field Analytical continuation Active space |
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