On the approximation of the potential fields when using right rectangular prisms

Due to its simplicity, stability, and efficiency, the use of right rectangular prisms is still widespread for potential field modelling and inversion. It is well known that modelling the subsurface with Cartesian grids has important consequences in terms of accuracy of the results. In this paper, we review the main issues that geophysicists face in day‐to‐day work when trying to use right rectangular prisms for performing gravity or full tensor gravity modelling and inversions. We demonstrate the results both theoretically and through Monte Carlo simulations, also exploiting concepts from fractal geometry. We believe that the guidelines contained in this paper may suggest a good practice for the day‐to‐day work of geophysicists dealing with gravity and full tensor gravity data.     

地磁场H、D受HVDC输电干扰特征分析

以受宁东线高压直流（HVDC）输电干扰相对严重的11个地磁台站为主要研究对象,以蒙城台为干扰幅度量取的参考台站,研究了地磁场水平分量H、磁偏角D受HVDC输电的干扰特征.发现H和D受HVDC输电干扰具有同步性和偏向性;同一HVDC输电线路两侧H和D干扰幅度具有线性关系,但线性关系明显弱于垂直分量Z干扰幅度的比例关系;接地极附近台站各自的Z、H、D干扰幅度具有线性关系.之后对H和D干扰产生的机理进行了深入的定性分析.根据得到的干扰特征的结论,提出了以红山台Z、H、D为输入的本研究相关台站的Z、H、D为输出的自动计算方法.经过误差分析,本方法平均误差水平低于国家地磁学科中心当前使用算法误差水平,最高降幅达42.9%.     

Analytic signal approach and its applicability in environmental magnetic investigations

We investigate the analytic signal method and its applicability in obtaining source locations of compact environmental magnetic objects. Previous investigations have shown that, for two-dimensional magnetic sources, the shape and location of the maxima of the amplitude of the analytic signal (AAS) are independent of the magnetization direction. In this study, we show that the shape of the AAS over magnetic dipole or sphere source is dependent on the direction of magnetization and, consequently, the maxima of the AAS are not always located directly over the dipolar sources. Maximum shift in the horizontal location is obtained for magnetic inclination of 30°. The shifts of the maxima are a function of the source-to-observation distance and they can be up to 30% of the distance. We also present a method of estimating the depths of compact magnetic objects based on the ratio of the AAS of the magnetic anomaly to the AAS of the vertical gradient of the magnetic anomaly. The estimated depths are independent of the magnetization direction. With the help of magnetic anomalies over environmental targets of buried steel drums, we show that the depths can be reliably estimated in most cases. Therefore, the analytic signal approach can be useful in estimating source locations of compact magnetic objects. However, horizontal locations of the targets derived from the maximum values of the AAS must be verified using other techniques.     

东太平洋Juan de Fuca板块的磁变研究

作为EMSLAB电磁感应国际合作计划的一部分,通过对海底观测的三分量变化地磁场的分析,构制了横跨Juan de Fuca洋脊、Juan de Fuca板块到板块俯冲带的三条地磁转换函数剖面,计算了各个测点的地磁场感应矢量。结果表明,Juan de Fuca板块的东、西两部分的浅部电性结构是有差异的,近海岸线的东区更导电;而深部电性结构是相对均匀的。这一结果与由大地电磁资料计算得到的二维模型剖面是一致的。     

Two examples of spectral approach to source depth estimation in gravity and magnetics

Fourier transformation of gravity and magnetic anomalies from space to the frequency domain provides aready method for source depth estimation since progressively deeper sources are indicated by the lower frequency components of an anomaly. Two examples are presented here to demonstrate the efficacy of this approach. One example pertains to the interpretation of vertical intensity magnetic anomalies over a layered ultramafic body for estimating the thickness of relatively non-magnetic layer in it and map the dispositions of the layers. The other example is the estimation of crustal thickness in the Indian region from the Bouguer anomaly map. The spectral method is shown, by these two examples, to provide a rapid and elegant tool for the source depth estimation for magnetic and gravity data.     

油水双相饱和孔隙模型核磁特性理论研究

利用特征函数展开方法，给出了基于扩散效应的核磁共振Bloch控制方程的弛豫模式解表达式, 在此基础上分别给出了水饱和与油水双相饱和孔隙模型的核磁共振特性模拟结果. 结果表明，孔隙流体的核磁弛豫与孔隙大小、孔隙表面弛豫率、孔隙流体的扩散能力以及含油饱和度等有密切的关系. 对于水饱和孔隙，弛豫时间主要由孔隙大小控制. 当孔隙较大时，即使均匀大小孔隙，孔隙流体的弛豫也会表现为多指数弛豫. 而且最小模式弛豫时间与孔隙大小为非线性关系. 对于油水双相饱和孔隙，在孔隙较小时，含油饱和度对弛豫的影响主要表现在弛豫时间随含油饱和度的增加而线性减小；但在孔隙较大时，含油饱和度的增加对弛豫影响表现在两个方面，其一，孔隙水弛豫由多个弛豫模式控制逐渐转变为由最小弛豫模式控制；其二，孔隙水弛豫时间与含油饱和度表现为非线性关系. 对由实际岩芯抽象出的孔隙模型，采用本文获得的理论公式，在油水双相饱和时进行了正反演模拟. 计算结果与已有的实验结果较为一致.     

航磁资料在工程场地区域稳定性研究中的应用

本以南北构造带北段区域内一火电厂工程场地为例，利用航磁资料进行反演所得到的磁场异常结果，对深部地质结构特别是隐伏活动断裂的存在进行了分析研究．对航磁资料在区域稳定性研究中的实际应用进行了探讨．     

由卫星磁异常推断西藏高原地壳的磁性特征

根据前人对本区卫星和航空磁异常所作的研究工作，作者经过综合研究所得的结果是：西藏高原地壳中的磁性层在地表以下30km以内，其磁化率平均为.0167SI,相当于I－型花岗岩类的磁化率，在30km以下，地壳显示为无磁性。     

The contribution of marine magnetics in the Gulf of Saint-Malo (Brittany,France) to the understanding of the geology of the North Armorican Cadomian belt

Marine magnetic data extracted from the geophysical database of the SHOM (the French Hydrographic and Oceanographic Service) offer a first overview of the magnetic offshore environment in the Gulf of Saint-Malo (Brittany, France). Their cross-interpretation with available geological and geophysical knowledge provides a new land and sea model of the western part of the Late Proterozoic North Armorican Cadomian belt. In particular, marine data exhibit relatively intense and heterogeneous magnetic signatures, mainly interpreted as the offshore prolongation of plutonic, volcanic, and metamorphic geologic formations recognized onshore. Imprints of major faults well known on land can be inferred at sea from discontinuities and shifting of magnetic anomalies or followed by high-resolution bathymetry. An impressive and dense dolerite dyke swarm propagated on more than 50 km from the coast seaward. Dykes are characterized by both 1-km-deep and less than 50-m-deep superficial magnetic responses, suggesting the existence of deeply rooted super dykes to which individual small-scale structures are connected.     

A structural,magnetic, and Mössbauer spectral study of several Na–Mn–Fe-bearing alluaudites

The synthesis and the chemical, structural, magnetic, and Mössbauer spectral characterization of three synthetic alluaudites, Na₂Mn₂Fe(PO₄)₃, NaMn Fe₂(PO₄)₃ and Na₂MnFe^IIFe^III(PO₄)₃, and a natural sample with the nominal composition of NaMn Fe₂(PO₄)₃, collected in the Buranga pegmatite, Rwanda, are reported. All four compounds have the expected alluaudite monoclinic C2/c structure with the general formula [A(2)A(2)][A(1)A(1)A(1)₂]M(1)M(2)₂(PO₄)₃ in which manganese(II) is on the M(1) site and manganese(II), iron(III) and, in some cases, iron(II) on the M(2) site. The X-ray structure of Na₂Mn₂Fe(PO₄)₃ also indicates a partially disordered distribution of Na^I and Mn^II on the M(1) and A(1) crystallographic sites. All four compounds are paramagnetic above 40 K and antiferromagnetically ordered below. Above 40 K the effective magnetic moments of NaMnFe₂(PO₄)₃ and Na₂MnFe^IIFe^III(PO₄)₃ are those expected of high-spin manganese(II) and iron(III) with the ⁶A_1g electronic ground state and high-spin iron(II) with the ⁵T_2g electronic ground state. In contrast, the effective magnetic moment of Na₂Mn₂Fe(PO₄)₃ is lower than expected as a result of enhanced antiferromagnetic exchange coupling by the manganese(II) on the M(2) site. The Mössbauer spectra of all four compounds have been measured from 4.2 to 295 K and have been found to be magnetically ordered below 40 K for Na₂Mn₂Fe(PO₄)₃ and 35 K for the remaining compounds. The Mössbauer spectra of Na₂Mn₂Fe(PO₄)₃ exhibit the two expected iron(III) quadrupole doublets and/or magnetic sextets expected for a random distribution of manganese(II) and iron(III) ions on the M(2) site. Further, the Mössbauer spectra of Na₂MnFe^IIFe^III(PO₄)₃ exhibit the two iron(II) and two iron(III) quadrupole doublets and/or magnetic sextets expected for a random distribution of iron(II) and iron(III) on the M(2) site. Surprisingly, the synthetic and natural samples of NaMnFe₂(PO₄)₃ have 19 and 10% of iron(II) on the M(2) site; apparently the presence of some iron(II) stabilizes the alluaudite structure through the reduction of iron(III)–iron(III) repulsion. The temperature dependence of the iron(II) quadrupole splitting yields a 440 to 600 cm^–1 low-symmetry component to the octahedral crystal field splitting at the M(2) site. The iron(II) and iron(III) hyperfine fields observed at 4.2 K are consistent with the presence of antiferromagnetic ordering at low temperatures in all four compounds.