浅地表地下质量异常重力与磁探测数值模拟方法  

Numerical simulation method for gravity and magnetic observations of mass anomaly in shallow subsurface

作　　者：刘惠敏[1,2] 刘繁明[1] 荆心[1] 夏琳琳[3] LIU Hui-min LIU Fan-ming JING Xin XIA Lin-lin(College of Automation, Harbin Engineering University, Harbin 150001, China College of Mechanical and Electrical Engineering, Qingdao Agricultural University, Qingdao 266109, China School of Automation Engineering, Northeast Dianli University, Jilin 132012, China)

机构地区：[1]哈尔滨工程大学自动化学院,哈尔滨150001 [2]青岛农业大学机电工程学院,青岛266109 [3]东北电力大学自动化工程学院,吉林132012

出　　处：《中国惯性技术学报》2016年第4期490-495,共6页Journal of Chinese Inertial Technology

基　　金：国家自然科学基金(60834005);国家自然科学基金青年基金项目(61503073)

摘　　要：提出一种重磁观测值数值模拟方法,用于地下空穴测量数据的解释和反演算法研究。采用更具结构灵活性的旋转椭球体作为地下空穴模型,在重力异常和重力梯度异常计算表达式的基础上,推导其磁异常计算表达式,实现空穴重磁异常信号的分析计算;借助扰动位的功率谱密度函数实现重力异常谱和重力梯度异常谱的计算,经傅立叶逆变换到空间域实现背景场统计学模拟;采用高斯白噪声模拟测量仪器或其它随机噪声信号。将三部分数据叠加并进行数值仿真,证明该方法合理有效。A numerical simulation method for gravity and magnetic observations of mass anomaly in shallow subsurface is proposed for studying the data interpretation and inversion algorithm of underground voids, assuming that the gravity and magnetic anomaly signals generated by the underground voids can be described by the signals of rotational ellipsoids. One important aspect of the study is to derive the magnetic anomaly expressions of rotational ellipsoids with the known formulas of gravity and gravity gradient. The power spectral density function of disturbing potential is used to calculate the gravity anomaly spectrum and gravity gradient anomaly spectrum. The inverse Fourier transformation of the above spectra provides the gravity and magnetic background filed signals in the space domain. Furthermore, the random instrument noise signals are simulated by Gaussian white noise. Superposing these three parts of data and then carrying out numerical simulation for them with specific parameters, the results show that the method is reasonable and effective.

关 键 词：重力异常 重力梯度异常 磁异常 地下空穴 重磁背景场 数值模拟 

分 类 号：P312.1[天文地球—固体地球物理学]