The relationship between local wavenumber and analytic signal in magnetic interpretation

Geophysics ◽  
2006 ◽  
Vol 71 (1) ◽  
pp. L1-L3 ◽  
Author(s):  
Mark Pilkington ◽  
Pierre Keating
Keyword(s):  
Analytic Signal ◽  
Magnetic Interpretation ◽  
Local Wavenumber ◽  
The Relationship

Reply by the authors to N. L. Mohan

Geophysics ◽  
1993 ◽  
Vol 58 (8) ◽  
pp. 1215-1216 ◽  
Author(s):  
W. R. Roest ◽  
J. Verhoef ◽  
M. Pilkington
Keyword(s):  
Analytic Signal ◽  
Three Dimensions ◽  
Magnetic Interpretation

The purpose of our paper (Roest et al., 1992) was to present the generalization of the analytic signal (Nabighian, 1972) from two to three dimensions and illustrate its use in magnetic interpretation. The comments by Dr. Mohan can be separated into three categories.

Reply by the authors to the discussion by Huang Lin‐ping and Guan Zhi‐ning

Geophysics ◽  
1998 ◽  
Vol 63 (2) ◽  
pp. 670-670 ◽  
Keyword(s):  
Analytic Signal ◽  
Magnetic Interpretation

The authors of “Magnetic interpretation using the 3‐D analytic signal” chose not to reply to the discussion by Huang Lin‐ping and Guan Zhi‐ning.

scholarly journals Estimation of Magnetic Contact Location and Depth of Magnetic Sources in a Sedimentary Formation

2019 ◽  
Vol 66 (1) ◽  
pp. 27-37
Author(s):  
A.A Alabi ◽  
V Makinde ◽  
A.O Adewale ◽  
J.O Coker ◽  
T.J Aluko
Keyword(s):  
Source Parameters ◽  
Signal Amplitude ◽  
Analytic Signal ◽  
Horizontal Gradient ◽  
Southwestern Nigeria ◽  
Region Data ◽  
Basement Depth ◽  
Anomaly Map ◽  
Local Wavenumber ◽  
Deep Sources

AbstractThe aeromagnetic data of Idogo, Southwestern Nigeria, have been used to study the lithology and to determine the magnetic source parameters within Idogo and its environs. Idogo lies between latitudes 6°30′N and 7°00′N and between longitudes 2°30′E and 3°00′E. The magnetic anomaly map, the regional geology, the analytic signal and the local wavenumber were used to identify the nature and depth of the magnetic sources in the region. Data enhancement was carried out to delineate the residual features relative to the strong regional gradients and intense anomalies due to the basin features. The estimated basement depth using the horizontal gradient method revealed depths ranging between 0.55 km and 2.49 km, while the analytic signal amplitude and local wavenumber methods estimated depth to the magnetic sources to range from 0.57 km to 4.22 km and 0.96 km to 2.43 km, respectively. Depth computations suggested the presence of both shallow and deep sources. The total magnetic intensity values ranged from 3.1 nT to 108.3 nT. The area shows magnetic closures of various sizes in different parts of the area trending West, with prominence at the centre and distributed East–West.

Binormal schrodinger system of Heisenberg ferromagnetic equation in the normal direction with Q-HATM approach

2021 ◽  
pp. 2150082
Author(s):  
Talat Korpinar ◽  
Ridvan Cem Demirkol ◽  
Zeliha Korpinar
Keyword(s):  
Wave Propagation ◽  
Normal Direction ◽  
Fractional Systems ◽  
Magnetic Interpretation ◽  
Normal Orientation ◽  
Homotopy Analysis ◽  
Fractional System ◽  
Parallel Transportation ◽  
The Relationship ◽  
Schrödinger System

In this paper, we first study the applications of the wave propagation flow in the normal direction, which is assumed to be the path of the propagated light radiated by Heisenberg ferromagnetic equation. Then the Coriolis phase is mainly used to demonstrate the relationship between the geometric magnetic phase and parallel transportation of the wave propagation field of the evolving light radiating in the normal orientation with Heisenberg ferromagnetic equation. Moreover, we investigate the geometric magnetic interpretation of the binormal evolution of the wave propagation field in the normal direction by considering the nonlinear fractional system with the repulsive type. Finally, we obtain numerical fractional solutions for the nonlinear fractional systems with the repulsive type by using the [Formula: see text]-Homotopy analysis transform ([Formula: see text]-HATM) method.

Magnetic interpretation using the 3D analytic signal

1991 ◽  
Author(s):  
W. R. Roest ◽  
M. Pilkington ◽  
J. Verhoef
Keyword(s):  
Analytic Signal ◽  
Magnetic Interpretation

Magnetic interpretation using the 3-D analytic signal

Geophysics ◽  
1992 ◽  
Vol 57 (1) ◽  
pp. 116-125 ◽  
Author(s):  
Walter R. Roest ◽  
Jacob Verhoef ◽  
Mark Pilkington
Keyword(s):  
Magnetic Field ◽  
Impact Crater ◽  
Analytic Signal ◽  
Three Dimensions ◽  
Eastern Canada ◽  
Magnetic Interpretation ◽  
Absolute Value ◽  
Cape Breton ◽  
Derivatives Of ◽  
The Magnetic Field

A new method for magnetic interpretation has been developed based on the generalization of the analytic signal concept to three dimensions. The absolute value of the analytic signal is defined as the square root of the squared sum of the vertical and the two horizontal derivatives of the magnetic field. This signal exhibits maxima over magnetization contrasts, independent of the ambient magnetic field and source magnetization directions. Locations of these maxima thus determine the outlines of magnetic sources. Under the assumption that the anomalies are caused by vertical contacts, the analytic signal is used to estimate depth using a simple amplitude half‐width rule. Two examples are shown of the application of the method. In the first example, the analytic signal highlights a circular feature beneath Lake Huron that has been identified as a possible impact crater. The second example illustrates the continuation of terranes across the Cabot Strait between Cape Breton and Newfoundland in eastern Canada.

Attributes of the magnetic field, analytic signal, and monogenic signal for gravity and magnetic interpretation

Geophysics ◽  
2016 ◽  
Vol 81 (6) ◽  
pp. J79-J86 ◽  
Author(s):  
Xiong Li ◽  
Mark Pilkington
Keyword(s):  
Magnetic Field ◽  
Magnetic Anomaly ◽  
Field Vector ◽  
Analytic Signal ◽  
Horizontal Gradient ◽  
Monogenic Signal ◽  
Magnetic Interpretation ◽  
Gravity And Magnetic ◽  
Gravity And Magnetic Interpretation ◽  
The Magnetic Field

Many of the transforms and attributes used in gravity and magnetic interpretation can be expressed as a 2D or 3D vector. The horizontal gradient and the 2D analytic signal are 2D vectors. The gravity or magnetic field, the 3D analytic signal, and the monogenic signal are defined by a 3D vector. In practice, we prefer to interpret the amplitude and/or phase of a 2D or 3D vector, but we often forget that a meaningful interpretation requires a magnetic reduction-to-the-pole operation when these techniques are applied to magnetic anomaly data and the source body is 3D. Furthermore, the gravity or magnetic anomaly has an unknown constant level that may affect the amplitude and phase. The horizontal gradient, the analytic signal, and the monogenic signal can be applied to not only the gravity or magnetic anomaly but also any [Formula: see text]th-order derivative or a filtered version of the anomaly. They can be related to each other and to the magnetic field vector. We do not introduce new attributes. Instead, we have explained the relationships among different transforms (or vectors) and addressed precautions and requirements for their practical use.

Sign in / Sign up

Export Citation Format

Share Document