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I have been long looking for the derivations and step by step explanation of Zoeppritz matrix but either internet is full of final versions or I can’t find it...I would be very thankful if anyone can direct me or provide me with derivations.

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The Wikipedia entry for Zoeppritz equations says:

A full derivation of these equations can be found in most exploration geophysics text books, such as:

Sheriff, R. E., Geldart, L. P., (1995), 2nd Edition. Exploration Seismology. Cambridge University Press.

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