A sigmoid stabilizing function for fast sparse 3D inversion of magnetic data

Rezaie, Mohammad

doi:10.1002/nsg.12080

Cited by 13 publications

(2 citation statements)

References 41 publications

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“…In one such approach, researchers proposed the non-smooth stabilizer to replace the general smooth stabilizer and identified the physical bounds from a priori information to obtain results with sharp boundaries, such as the minimum support stabilizer, known as the L 0 -norm stabilizer [10], the minimum gradient support stabilizer [11], the L 1 -norm stabilizer [8], the Cauchy norm stabilizer [12], the zero-order minimum entropy stabilizer [13], the sigmoid stabilizing function [14], and the error function stabilizer [15]. Another approach to improve the inversion resolution of gravity and magnetic data is the joint inversion of multiple geophysical data.…”

Section: Of 17mentioning

confidence: 99%

Power-Type Structural Self-Constrained Inversion Methods of Gravity and Magnetic Data

Ming,

Ma,

Wang

et al. 2024

Remote Sensing

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The inversion of gravity and magnetic data can obtain the density and magnetic structure of underground space, which provide important information for resource exploration and geological structure division. The most commonly used inversion method is smooth inversion in which the objective function is built with L2-norm, which has good stability, but it produces non-focused results that make subsequent interpretation difficult. The power-type structural self-constrained inversion (PTSS) method with L2-norm is proposed to improve the resolution of smooth inversion. A self-constraint term based on the power gradient of the results is introduced, which takes advantage of the structural feature that the power gradient can better focus on the model boundary to improve the resolution. For the joint inversion of gravity and magnetic data, the power-type mutual-constrained term between different physical structures and the self-constrained term can be simultaneously used to obtain higher-resolution results. The modeling tests demonstrated that the PTSS method can produce converged high-resolution results with good noise immunity in both the respective inversions and the joint inversion. Then, the PTSS joint inversion was applied to the airborne gravity and magnetic data of the iron ore district in Shandong, revealing the shape and location of the mineralized rock mass, which are crucial information for subsequent detailed exploration.

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Section: Of 17mentioning

confidence: 99%

Power-Type Structural Self-Constrained Inversion Methods of Gravity and Magnetic Data

Ming,

Ma,

Wang

et al. 2024

Remote Sensing

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“…By joining GA global scheme and ray tracing, we intend to (i) estimate a good initial model of the velocity field by inversion and (ii) understand the dependence of GA with sigmoidal parameterization. Both techniques has been widespread in literature (DOCHERTY et al, 1997;FERREIRA;PORSANI;OLIVEIRA, 2003;REZAIE, 2020;SAM-BRIDGE;DRIJKONINGEN, 1992) and will be used to determine the velocity field coefficients given by the sigmoidal parameterization making this work a novelty. This methodology is useful since it can be applied to any set of traveltimes where forward modeling is effective, regardless of the model geometry or data set to be used.…”

Section: Introductionmentioning

confidence: 99%

Inversion of velocity models using genetic algorithm method with sigmoidal parameterization

Azevedo

Palma

2022

Semina: Ciênc. Ex. Tech.

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A seismic traveltime inversion method is proposed for building smooth velocity models using traveltime observed on irregular surface. Model parameterization in this study is described by a piecewise constant velocity field on a rectangular grid parameterized by sigmodal functions, which is beneficial for the description of irregular surface with high degree of approximation. The velocity field is defined in the rectangular grid which is used for the description of velocity distribution everywhere in the model sigmoidal interpolation. In addition, we use the simple Genetic Algorithm for the inversion procedure. Through this global scope inversion method, we provide high-resolution estimates of the model parameter and ensure that the results obtained are in accordance with the actual data. Our method is validated with synthetic examples of heterogeneous isotropic media and compared to Simulating Annealing. The inverted velocity models and approximate ray paths obtained coincide well with the trajectories simulated using the seismic ray tracing in synthetic heterogeneous isotropic media.

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Basement faults deduction at a dumpsite using advanced analysis of gravity and magnetic anomalies

Alatorre-Zamora

Campos-Enríquez

Fregoso

et al. 2020

Near Surface Geophysics

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A study of the fracture systems in the basement of the Matatlan urban waste dump of Guadalajara City, near the western edge of the Rio Grande de Santiago canyon (southwestern Mexico), is reported. The Matatlan dumpsite was developed on top of andesitic and rhyolitic rocks. Measurements at outcrops indicated that N–S (0°–15° and 165°–180°), N45–90E and N105–135E fracture systems affect the basement. Statistical analysis (micromagnetic method) of magnetic lineament azimuths indicated the presence of two lineament groups. The major one (N60–120E) has a maximum at N90–105E, and a secondary group (N120–165E). The gravity anomalies are featured by a major group (N60–120E, with maximums at N60–75E, and N105–120E) and a secondary group (N120–180E). Thus, a good to fair correlation exists between the measured fracture orientations and the lineaments featuring the gravity and magnetic anomalies. Horizontal derivative and tilt angle depicted horizontal limits of anomaly‐causative bodies. Results of the micromagnetic method are consistent with fracture orientations and with the limits established through edge‐detection techniques. Lineaments established by means of the gravity and magnetic Euler deconvolution are also consistent. Gravity and magnetic Euler deconvolution helped to estimate the depth extent of the limits of gravity and magnetic common sources. Euler deconvolution indicated the fault or contact nature of these lineaments. Furthermore, Euler deconvolution indicated slopes of the limits of gravity and magnetic sources. The fault or fracture nature of the major lineaments was finally confirmed by forward modelling (forward 2D cooperative modelling of gravity and magnetic profiles). For example, lineaments delimiting the northern depression could be characterized as normal faults. In general, this study indicates that it is possible, based on gravity and magnetic data, to characterize fractures affecting the basement of a dumpsite, a key parameter in hydrogeophysical studies. In particular, through this study, the inferred structures could be associated with regional tectonic faulting, which might provide migration paths to unhealthy lixiviate outside the dumpsite, giving rise to the contamination of the neighbouring environment. In particular, the study explains the presence of an unhealthy leachate waterfall to the northeast of the dumping site. Heavy metal contents in samples from this waterfall support that lixiviates originate at the dumpsite.

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A sigmoid stabilizing function for fast sparse 3D inversion of magnetic data

Cited by 13 publications

References 41 publications

Power-Type Structural Self-Constrained Inversion Methods of Gravity and Magnetic Data

Power-Type Structural Self-Constrained Inversion Methods of Gravity and Magnetic Data

Inversion of velocity models using genetic algorithm method with sigmoidal parameterization

Basement faults deduction at a dumpsite using advanced analysis of gravity and magnetic anomalies

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