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1.
位场总水平导数极值位置空间变化规律研究   总被引:5,自引:2,他引:3       下载免费PDF全文
王万银 《地球物理学报》2010,53(9):2257-2270
通过对位场总水平导数函数性质的研究表明,位场总水平导数不是位函数,因而利用位场总水平导数构造新的边缘识别方法时会出现"奇点",使得计算结果的稳定性下降.对单一边界、双边界、多边界模型重力异常总水平导数和重力异常垂向导数总水平导数极值位置的空间变化规律研究表明,重力异常垂向导数总水平导数和化极磁力异常总水平导数的极值位置相同,与重力异常总水平导数的极值位置空间变化规律相似.利用位场总水平导数极大值位置能够准确识别单一直立边界地质体的边缘位置,但不能准确识别其它任何形体的边缘位置,其识别结果的偏移量大小随地质体的埋深、水平尺寸以及倾斜程度等变化,但能收敛于某一固定值;重力异常垂向导数总水平导数比重力异常总水平导数的峰值更加尖锐、横向识别能力更强,其极大值位置更靠近地质体上顶面边缘位置,但存在"次极大值"的影响.  相似文献   

2.
位场数据归一化总水平导数垂向导数边缘识别方法(英文)   总被引:13,自引:4,他引:9  
位场数据边缘识别技术常常用来识别地质体的边缘位置.本文提出了一种新的位场数据边缘识别方法--归一化总水平导数垂向导数,它具有边缘探测和边缘增强两种功能.该方法首先计算位场数据的总水平导数THDR和总水平导数THDR的n阶垂向导数VDRn,并对n阶垂向导数VDRn采用取大于0的阈值技术得到总水平导数峰值PTHDR,该值可以用来进行边缘探测;其次,计算总水平导数峰值PTHDR与总水平导数THDR的比,并用最大值进行归一化得到归一化总水平导数垂向导数,该值可以用来进行边缘增强;最后,通过理论模型和实际资料检验了方法的有效性和可靠性.  相似文献   

3.
本文提出归一化总水平导数法,通过对总水平导数进行空间归一化计算实现了异常体水平位置和深度的估计,此外还推导出基于归一化总水平导数的欧拉反褶积法来估算地下地质体的空间位置,两种方法反演结果的相互验证可有效地提高反演结果的可信度.理论模型试验证明空间归一化总水平导数法和归一化总水平导数欧拉反褶积法均能有效地完成异常体的水平位置和深度的估计,所获得的位置参数与理论值相一致.在利用归一化总水平导数法进行磁异常解释时,对数据进行化磁极计算可得到更加准确的结果.将其应用于实际航磁数据的解释,获得了岩脉的大致分布特征.  相似文献   

4.
摄动求解Fréchet导数的电阻率层析成像方法   总被引:2,自引:0,他引:2       下载免费PDF全文
针对电阻率层析成像 ,比较了求解Fréchet导数的 4种方法 ,并提出摄动方法计算该导数 ,使得每一次迭代过程只计算一次正演。井间电阻率成像的数值模拟结果表明了该方法的稳定性和高效性 ,实际资料的处理证明了方法的有效性  相似文献   

5.
被评论的论文(简称原文)中应用离散余弦变换(DCT法)计算磁异常导数,并与离散Fourier变换法(DFT法)计算结果进行对比,得到“DCT法明显优于DFT法”的结论.我们对原文进行了验证.原文磁异常导数波数响应计算的错误导致DFT法计算的错误,最终导致结论的错误.原文相关两篇论文中应用DCT法分别进行重力异常的导数换算和重力异常的向上延拓,也存在同样的错误.  相似文献   

6.
针对电阻率层析成像 ,比较了求解Fréchet导数的 4种方法 ,并提出摄动方法计算该导数 ,使得每一次迭代过程只计算一次正演。井间电阻率成像的数值模拟结果表明了该方法的稳定性和高效性 ,实际资料的处理证明了方法的有效性。  相似文献   

7.
对斜导数方法理论进行了研究,编写了利用斜导数方法来提取异常体边界和利用Tilt-depth方法来确定异常体顶面埋深的MATLAB程序,并实现了MATLAB与C#的混合编程.另外对深度点的三维可视化显示进行了研究,显示效果理想.理论模型试算结果表明,斜导数方法能够有效圈定异常体的边界,对异常体的顶面埋深计算较准确.实际资料的试算也取得了理想的结果,表明该方法具有良好的应用前景.  相似文献   

8.
三维介质中速度结构和界面的联合成像   总被引:16,自引:5,他引:11       下载免费PDF全文
根据波逆行原理推导了三维介质中地震波射线走时对界面偏导数的完整基本关系式,并对基本关系式进行简化,得到其在二维和一维介质中的关系式. 给出了任意多个复杂界面情况下,反演时所需的走时对界面偏导数系数矩阵. 为了检验三维介质中速度和界面联合成像理论的有效性,进行了数值模拟计算,很好地对三维速度结构和界面进行了重建.  相似文献   

9.
基于平均导数方法的声波方程频率域高阶正演   总被引:1,自引:1,他引:0       下载免费PDF全文
本文首先阐明了基于旋转坐标系的频率域正演算法只能适用于相同横纵向空间采样间隔的局限性,并发展了一种新的基于平均导数方法(average-derivative method,简称ADM)的25点有限差分格式来实现声波方程频率域高精度正演.这种基于平均导数方法的算法将声波频率域方程中空间导数项的差分近似表示为正交方向上5个网格点的加权平均形式,能适用于不同的横纵向空间采样间隔,因此能作为四阶声波频率域正演的一种统一格式,具有很好的适用性.通过优化方法求取空间导数项和加速度项的加权优化系数,从而使数值频散达到极小化,每个波长所需要的网格点数在1%的误差范围内仅为2.78个网格点数.本文通过引入完全匹配层(perfectly matched layer,简称PML)吸收边界条件,有效地消除了人工边界反射.数值模拟结果验证了本文25点ADM算法的有效性和准确性.  相似文献   

10.
周兵 《地震研究》1990,13(3):256-264
本文对Wiggins方法提出两点改进,(1)半空间本征函数选为四个特定的指数函数的线性组合。(2)用求系数向量的基础解系的方法处理边界条件。改进后的方法比较合理,而且适用于各种纵向变速介质的地震面波频散和偏导数的计算。  相似文献   

11.
1975年、1976年格林和斯坦利发表了求二维接触面参数的一个方法。本文试图在他们工作的基础上,用空间域滤波来代替格林和斯特利用差商求水平导数和用希尔伯特变换求垂直导数的方法。文中给出了应用空间域滤波计算重、磁异常水平和垂直导数的方法。模型试验证实了理论上的推断。与差商和希尔伯特变换方法相比,优点在于它既能同时滤掉高频干扰,又能使求得的垂直导数和水平导数具有相同的精度,进而提高反演结果的精确度。  相似文献   

12.
利用单键群分析方法,对1976年唐山和1989年大同地震前多学科前兆异常的时空群集特征进行了研究。对2次地震前兆的单键群构架的信源熵、平均键长和累积滑动频次进行了时空扫描。结果表明,地震前单键群要异常非常明显,并且可以分为5个阶段。1975年6月-1976年6月(第4阶段)异常幅度变化最大。震前1个月(第5阶段)信源熵值进一步下降,平均键长变化维持在第4阶段的水平,累积滑动频次增加。异常的变化阶段可为地震的中短期预报提供判据。最小信源滴的变化经历了一个由外围逐渐向未来地震区迁移的过程,根据这一特点可以追踪和确定地震危险区的范围。  相似文献   

13.
The application of approximate rules, whereby apparent resistivity space sections for two dimensional structures can be composited from spaces derived for elementary features is extended to a complex example drawn from a field survey over a fluorite mineral vein. A quantitative solution for the observed resistivity space is presented and the computational sequence involved in matching the observed space is given in detail. The interpreted results are examined in relation to the known geology, supplemented by the results of excavation, and to model tests conducted using a tank analogue. The example also illustrates how successive compositions can be employed in estimating the form of resistivity space in a relatively complex situation.  相似文献   

14.
本文运用摄动法解析地研究了磁尾电流片平板模型非线性撕裂模的时间演化及与晨昏电场的相互作用.结果表明,撕裂模的非线性时间演化最终会形成磁岛,磁岛宽度与扰动增长率的四次方根成正比;在扰动晨昏电场的作用下,磁岛宽度可发生尖点突变,尖点突变临界值所对应的晨昏电场扰动幅值约为5mV/m,这与磁亚暴发生时晨昏电场的幅值对应.  相似文献   

15.
Observations made from space have become almost a standard method of geologic investigation. However, interpretation of space photographs is not always unambiguous. Particularly, the nature and spatial location of various objects photographed from space remain obscure. It is especially difficult to investigate territories where basement rocks are overlain by sedimentary cover. From the example of investigations carried out in the central part of the Russian Platform it is shown how separate lineaments and ovoids reflect the peculiar features of geologic, hydrogeologic and geophysical structure of the region. It has been established that—within the sedimentary cover—they correspond usually to zones of increased fissuredness and are associated with low-amplitude tectonic dislocations. The authors concentrate on the elucidation of the transfer of deep geologic information to the surface. The sedimentary cover is regarded as a communication channel which makes it possible to employ the concepts of information theory for assessing its “transparency”. The contrast due to heterogeneities of the sedimentary cover in space photographs and, consequently, the degree of their manifestation in geologic and physical fields, depends on the water content of the rocks composing the section. Along with hydrogeologic characteristics, geo-electric parameters, such as specific electric resistivity, longitudinal conductivity and transverse resistivity, can serve as criteria of the degree of rock moistening. When the location of lineaments does not coincide with the plane axes of geophysical anomalies, an inclination of the fault plane can be supposed. The angle of inclination is characterized by the deviation of the lineament from the axis of the anomaly. The data resulting from the investigation of selected standard structures were used to develop a classification based on the degree of their expression in hydrodynamic, geoelectric, gravitational, and magnetic fields and depending on the spatial position and peculiarities of geologic arrangement. For geophysical investigations of unknown structures detected by space observations, this classification can be used as the basis for solving inverse problems by the methods of mathematical statistics.  相似文献   

16.
本文介绍第22太阳活动周峰年期间利用ULF波的观测和分析,对磁层近地空间电磁环境的研究,文中列举了这峰年期间地磁脉动的主要成果。有些成果是国际上首次提出和发表的,目前,地磁脉动的观测和研究已经成为监测近地空间电磁环境的重要手段。  相似文献   

17.
半空间饱和土在内部简谐水平力作用下的Ge函数   总被引:6,自引:0,他引:6       下载免费PDF全文
根据积分变换方法得出了半空间内部作用简谐水平力时的Gree函数.首先,利用Hankel积分变换方法,直接对频域内的Biot波动方程进行求解,得出Biot波动方程的通解;利用通解和半空间内部作用水平力时边界上的边界条件,以及力作用面上的连续性条件,可以得出上述边值问题的解;对于边值问题在变换域内的解进行相应的逆变换,就可以得出频域内的Gree函数.本文得到的线弹性退化解与文献中的结果吻合.最后,文中给出了两个算例.   相似文献   

18.
根据误差理论及在民乐盆地等测量场地的观测试验结果,对影响短水准测量精度的各种因素进行了分析研究。结果表明,短水准测量精度主要受4种干扰因素影响:(1)温度变化引起水准标尺尺长误差;(2)仪器单面受热的影响;(3)尺桩升降的影响;(4)地面折光的影响。特别是第4种因素的影响尤为显著。针对上述4种干扰,本文提出了一些相应的改进措施。作者将这些措施应用到实际观测中,收到了较明显的效果。  相似文献   

19.
日食电离层效应   总被引:7,自引:4,他引:7       下载免费PDF全文
本文分析了1987年9月23日日环食期间,我国14个电离层站和1988年3月18日日全食期间两个站的垂测仪和偏振仪记录,并综合50年代以来历次日食电离层效应的观测结果,证实:1.E层和F1层光食效应明显,F2层动力学效应显著;2.f0F2存在日食日值大于、小于或等于控制日值三种典型情况;3.TEC食变曲线有凹陷和不凹陷两种典型情况,甚至出现日食日值大于控制日值的异常现象. 本文对F2层和外电离层的动力学特征作了定性讨论,认为:空间等离子体温度急剧下降和沿场扩散是F2层和外电离层日食效应的最主要因素;而磁赤道上空等离子体的沿场扩散、“喷泉”效应,热层风和全(环)食带方位是影响位于磁赤道异常区各电离层站日食电离层效应的主要因素.  相似文献   

20.
ABSTRACT

The one-dimensional transient downward entry of water in unsaturated soils is investigated theoretically. The mathematical equation describing the infiltration process is derived by combining Darcy's dynamic equation of motion with the continuity and thermodynamic state equations adjusted for the unsaturated flow conditions. The resulting equation together with the corresponding initial and boundary conditions constitues a mathematical initial boundary value problem requiring the solution of a nonlinear partial differential equation of the parabolic type. The volumetric water content is taken as the dependent variable and the time and the position along the vertical direction are taken as the independent variables. The governing equation is of such nature that a solution exists for t > 0 and is uniquely determined if two relationships are defined, together with the specified state of the system, at the initial time t = 0 and at the two boundaries. The two required relations are those of pressure versus permeability and pressure versus volumetric water content.

Since the partial differential equation has strong non-linear terms, a discrete solution is obtained by approximating the derivatives with finite-differences at discrete mesh points in the solution domain and integrated for the corresponding initial and boundary conditions. The use of an implicit difference scheme is employed in order to generate a system of simultaneous non-linear equations that has to be solved for each time increment. For n mesh points the two boundary conditions provide two equations and the repetition of the recurrence formula provides n—2 equations, the total being n equations for each time increment. The solution of the system is obtained by matrix inversion and particularly with a back-substitution technique. The FORTRAN statements used for obtaining the solution with an electronic digital computer (IBM 704) are presented together with the input data.

Analysis of the errors involved in the numerical solution is made and the stability and convergence of the solution of the approximate difference equation to that of the differential equation is investigated. The method applied is that of making a Fourier series expansion of a whole line of errors and then following the progress of the general term of the series expansion and also the behavior of each constituent harmonic. The errors (forming a continuous function of points in an abstract Banach space) are represented by vectors with the Fourier coefficients constituting a second Banach space. The amplification factor of the difference equation is shown to be always less than unity which guarantees the stability of the employed implicit recurrence scheme.

Experiments conducted on a vertical column packed uniformly with very fine sand, show a satisfactory agreement between the theoretically and experimentally obtained values. Many experimental results are shown in an attempt to explain the infiltration phenomenon with emphasis on the shape and movement of the wet front, and the effects of the degree of compaction, initial water content and deaired water on the infiltration rate.  相似文献   

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