A Multiscale Approach to Geomagnetic Storm Morphology Analysis Based on DMA Activity Measures

Abstract

The article is focused on the approach based on the discrete mathematical analysis conception and continues a series of studies related to the application of the previously developed methodology to geophysical data analysis. The main idea of the study is the modification of earlier conceptions regarding the interpreter’s logic that allows introducing a multiscale approach and performing the time series analysis using the activity measure plots, implying the vertical scale. This approach was used to study the morphology of several intense geomagnetic storms at the final stages of the 23rd and 24th solar activity cycles. Geomagnetic observatory data and interplanetary magnetic field parameters as well as the solar wind flux speed and proton density were analyzed for each of the studied storms using the activity measures. The developed methods, applied to geomagnetic storm morphological analysis, displayed good results in revealing the decreases and increases in various durations and intensities during storms, detecting low-amplitude disturbances, and storm sudden commencement recognition. The results provide an opportunity to analyze any physical data using a unified scale and, in particular, to implement this approach to geomagnetic activity studies.

Regression Derivatives and Their Application in the Study of Magnetic Storms

“…The result of this work in theoretical terms should be considered the construction for the original record f = f (t) and the property P specified relative to it, of interest to the researcher, a two-dimensional function µP f = µP f (t, s), expressing on the scale of the segment [−1, 1] in at a given node t, a measure of the manifestation of property P on a record f at a given scale of its consideration s ≥ 0 [Agayan et al, 2016[Agayan et al, , 2021b[Agayan et al, , 2020Oshchenko et al, 2020;Soloviev et al, 2017].…”

Wavelet Model of Geomagnetic Field Variations and Its Application to Detect Short-Period Geomagnetic Anomalies

“…They occur in the polar region and propagate to the region of mid-and low-latitudes as geomagnetic activity grows. Thus, the task of the current diagnostics of such events is quite topical and is has been solved for several decades by different scientists and research groups [2][3][4][5][6]12,[20][21][22][23][24].…”

“…The geomagnetic data modeling and analysis problems are associated with their complicated irregular structure and the presence of noises of different origin (natural and anthropogenic) [22,[24][25][26]. The geomagnetic data structure and the anomalous feature occurrence times contain essential information on nonstationary processes in NES and characterize magnetic disturbance intensity at the place of data recording.…”

“…allow us to investigate long-term variations and regular diurnal changes of the magnetic field [2]. However, they are not effective enough to analyze sudden short-period features occurring during increased solar activity and magnetic storms [5,22,[24][25][26]. At the present time, new methods and approaches are being developed to analyze complex geophysical data.…”

“…In the papers [5,6,25], it was proposed to apply a fuzzy logic technology to investigate geomagnetic data complicated structures. Application of fuzzy logic elements was further developed in the paper [22], where the authors consider a multi-scale approach and study morphological features of several intensive geomagnetic storms based on it. At the present time, to improve the efficiency of complicated raw data analysis, hybrid approaches, including machine learning methods, are frequently used [8,[26][27][28].…”