Improved adaptive regularization for simulated annealing inversion of transient electromagnetic
View abstract on PubMed
Summary
This summary is machine-generated.This study introduces an improved adaptive regularization method for geophysical inversion using very fast simulated annealing (VFSA). The new approach dynamically balances data fitting and stabilizing terms, enhancing convergence and reducing sensitivity to initial parameters in transient electromagnetic (TEM) data inversion.
Area Of Science
- Geophysics
- Computational Science
- Data Science
Background
- Geophysical inversion problems are often ill-posed, requiring regularization techniques.
- Adaptive regularization methods automatically update parameters during iteration, simplifying selection, especially in linear inversion.
- Few studies explore adaptive regularization within stochastic optimization algorithms due to challenges with random search directions and term variations.
Purpose Of The Study
- To develop an improved adaptive regularization method for stochastic optimization in geophysical inversion.
- To address the difficulties of applying adaptive regularization in algorithms like very fast simulated annealing (VFSA).
- To enhance the inversion of transient electromagnetic (TEM) data.
Main Methods
- An improved adaptive regularization method is proposed, considering contributions of data fitting and stabilizing terms in the objective function.
- The method dynamically adjusts these terms to achieve balance during inversion.
- The technique is applied within the very fast simulated annealing (VFSA) algorithm for transient electromagnetic (TEM) data inversion.
Main Results
- Numerical experiments demonstrate accelerated convergence of the inversion process.
- The inversion results show minimal sensitivity to the initial regularization parameter.
- The method effectively balances data fitting and stabilizing terms in the objective function.
Conclusions
- The proposed adaptive regularization method enhances VFSA inversion for TEM data.
- The technique improves convergence speed and robustness against initial parameter choices.
- Successful application to field data shows excellent agreement with borehole data, validating its practical utility.
Related Concept Videos
Consider an external electric field propagating through a homogeneous medium. When the electric field crosses the surface boundary of the medium, it undergoes a discontinuity. The electric field can be resolved into normal and tangential components. The amount by which the field changes at any boundary is given by the difference between the field components above and below the surface boundary.
The surface integral of an electric field is given by Gauss's law in integral form and is related to...
When an electric field passes from one homogeneous medium to another, crossing the boundary between the two mediums imparts a discontinuity in the electric field. This results in electrostatic boundary conditions that depend on the type of mediums the field propagates through.
Consider a case where both the mediums across a boundary are two different dielectric materials. Recall that the electric field and electric displacement are proportional and related through the material's...
An important distinction exists between the electric field induced by a changing magnetic field and the electrostatic field produced by a fixed charge distribution. Specifically, the induced electric field is nonconservative because it does not work in moving a charge over a closed path. In contrast, the electrostatic field is conservative and does no net work over a closed path. Hence, electric potential can be associated with the electrostatic field but not the induced field. The following...
The German physicist Heinrich Hertz (1857–1894) was the first to generate and detect certain types of electromagnetic waves in the laboratory. Starting in 1887, he performed a series of experiments that confirmed the existence of electromagnetic waves and verified that they travel at the speed of light. Hertz used an alternating-current RLC (resistor-inductor-capacitor) circuit that resonated at a known frequency and connected it to a loop of wire. High voltages induced across the gap in...
Electric fields generated by static charges, often referred to as electrostatic fields, are characteristically different from electric fields created by time-varying magnetic fields. While the former is a conservative field, implying that no net work is done on a test charge if it goes around in a complete loop in the field, the latter is, by definition, not a conservative field; net work is done, and it is proportional to the rate of change of magnetic flux.
However, the observation of...
The Region of Convergence (ROC) is a fundamental concept in signal processing and system analysis, particularly associated with the Laplace transform. The ROC represents an area in the complex plane where the Laplace transform of a given signal converges, determining the transform's applicability and utility.
Consider a decaying exponential signal that begins at a specific time. When deriving its Laplace transform, the time-domain variable is replaced with a complex variable. This...

