TY - JOUR

T1 - On the Long-Period Statics Problem in Seismic Investigations

AU - Mitrofanov, Georgy

AU - Priimenko, Viatcheslav

AU - Goreyavchev, Nikita

N1 - Funding Information: The research has been supported by the Petrobras Institute for Research and Development (CENPES), Brazil, and by the Russian Foundation for Basic Research (RFBR), project number 19-35-90087. Publisher Copyright: © 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

PY - 2022/5

Y1 - 2022/5

N2 - One of the important points in performing research is that even for marine data acquired with ideal surface conditions, there are variations in the form of the initial seismic wavelet. Various kinds of corrections to seismic data can be made using factor models. Such models, used for the correction of residual statics, surface-consistent amplitudes, and seismic waveforms, lead to solutions of several problems. In particular, it is possible to understand the problem of long-period statics and its relationship with features of the structure of observation systems in seismic investigations, as well as with the algorithms that are used in the data processing. At the same time, the problem can be correctly solved by using a priori information. The latter is especially relevant for the analysis of the dynamic characteristics of signals. In the study of the corresponding linear systems, two approaches are realized: (i) an iterative process of sequential refinement for computing factors, and (ii) the introduction of heuristic conditions that guarantee uniqueness and stability in the solutions.

AB - One of the important points in performing research is that even for marine data acquired with ideal surface conditions, there are variations in the form of the initial seismic wavelet. Various kinds of corrections to seismic data can be made using factor models. Such models, used for the correction of residual statics, surface-consistent amplitudes, and seismic waveforms, lead to solutions of several problems. In particular, it is possible to understand the problem of long-period statics and its relationship with features of the structure of observation systems in seismic investigations, as well as with the algorithms that are used in the data processing. At the same time, the problem can be correctly solved by using a priori information. The latter is especially relevant for the analysis of the dynamic characteristics of signals. In the study of the corresponding linear systems, two approaches are realized: (i) an iterative process of sequential refinement for computing factors, and (ii) the introduction of heuristic conditions that guarantee uniqueness and stability in the solutions.

KW - amplitude and waveform

KW - correcting residual times

KW - factor models

KW - Long-period statics

KW - non-uniqueness

UR - http://www.scopus.com/inward/record.url?scp=85129231897&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/f26f7a1a-2c44-34c9-ae8f-68d280856649/

U2 - 10.1007/s00024-022-03030-y

DO - 10.1007/s00024-022-03030-y

M3 - Article

AN - SCOPUS:85129231897

VL - 179

SP - 1661

EP - 1677

JO - Pure and Applied Geophysics

JF - Pure and Applied Geophysics

SN - 0033-4553

IS - 5

ER -