TIKHONOV REGULARIZATION OF 1D WAVEFORM INVERSION IN FREQUENCY-DOMAIN

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Aghazade Kamal; AMINI NAVID; ASNAASHARI AMIR

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Seminar Paper

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Seminar: IRANIAN GEOPHYSICS CONFERENCE
Year:2016 | Issue:17

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Title

TIKHONOV REGULARIZATION OF 1D WAVEFORM INVERSION IN FREQUENCY-DOMAIN

Author(s)

Aghazade Kamal | AMINI NAVID | ASNAASHARI AMIR | Issue Writer Certificate

Keywords

FINITE-DIFFERENCE MODELING

TIKHONOV REGULARIZATION

MULTI-SCALE STRATEGY

Abstract

IN THIS PAPER WE DEAL WITH TIKHONOV REGULARIZATION OF 1D WAVEFORM INVERSION IN FREQUENCYDOMAIN.WAVEFORM INVERSION FACES DIFFICULTIES WHEN APPLIED TO FIELD SEISMIC DATA CONTAMINATED WITH NOISE. REGULARIZATION IS NECESSARY FOR REDUCTION OF NON-UNIQUENESS AND TACKLE THE ILLPOSEDNESS ISSUE OF THE PROBLEM. ONE OF THE MOST POPULAR ALGORITHMS FOR REGULARIZATION IS BASED ON TIKHONOV APPROACH THAT IS THE SUBJECT OF THIS PAPER. FIRST WE EMPLOY FINITE-DIFFERENCE MODELING IN THE FREQUENCY-DOMAIN FOR GENERATING 1D DATA (FORWARD STEP); IN THE SECOND STEP WE DEFINE TIKHONOV FUNCTION AS AN OBJECTIVE FUNCTION FOR INVERSION. WE USE MULTI-SCALE STRATEGY FOR INVERSION, AND BACK PROPAGATION ALGORITHM IS USED FOR GRADIENT CALCULATION. WE APPLY WAVEFORM INVERSION ON SYNTHETIC DATA CONTAMINATED WITH NOISE; THE RESULTS SHOWS THAT BY PROPER SELECTION OF THE FREQUENCIES, TIKHONOV REGULARIZATION CAN LEAD TO ACCEPTABLE RESULTS.

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APA: Copy

Aghazade, Kamal, AMINI, NAVID, & ASNAASHARI, AMIR. (2016). TIKHONOV REGULARIZATION OF 1D WAVEFORM INVERSION IN FREQUENCY-DOMAIN. IRANIAN GEOPHYSICS CONFERENCE. SID. https://sid.ir/paper/924416/en

Vancouver: Copy

Aghazade Kamal, AMINI NAVID, ASNAASHARI AMIR. TIKHONOV REGULARIZATION OF 1D WAVEFORM INVERSION IN FREQUENCY-DOMAIN. 2016. Available from: https://sid.ir/paper/924416/en

IEEE: Copy

Kamal Aghazade, NAVID AMINI, and AMIR ASNAASHARI, “TIKHONOV REGULARIZATION OF 1D WAVEFORM INVERSION IN FREQUENCY-DOMAIN,” presented at the IRANIAN GEOPHYSICS CONFERENCE. 2016, [Online]. Available: https://sid.ir/paper/924416/en

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