Welcome to the University of rizona Dept. of Geosciences
Reflection Seismology Program

This area is Under Construction!

elastic4.xls    Excel spreadsheet to calculate various elastic-parameter values based on entry of density and any two elastic-parameter values.

zoeprtz4-raj.xls    Excel spreadsheet to calculate reflection and transmission coefficients for P- and S-waves up to the critical angle.

zoepplot.xls    Excel spreadsheet showing numerical results from calculations of reflection and transmission coefficients as functions of angle of incidence from 0 to 90 degrees.  This spreadsheet contains no formulas, but the data can be used to plot example reflection and transmission coefficients (amplitude versus angle of incidence) for a particular boundary.

reflect-t-vs-x-dip.xls  Excel spreadsheet to calculate travel times as a function of source-receiver distance and create a simple plot of the reflection travel-time curve.  This spreadsheet allows input of dip to see the effect of non-horizontal boundaries.

t-x--dip.xls Excel spreadsheet to calculate and plot travel times (t - x) and t² - x² plots.  When the reflecting boundary is not dipping, the t² - x² plot is a single straight line, the slope of which gives the reciprocal of the velocity².  If the boundary is dipping, the t - x plot is asymmetric, and the t² - x² plot shows two branches.

Fourier-Definitions-2006.nb  Mathematica notebook showing basic definitions of Fourier series and Fourier transforms used in digital signal processing.  This notebook requires MathReader, a free software application available from Wolfram Resources, Inc. (http://www.wolfram.com/products/mathreader/) or a working version of Mathematica.  The same information is contained in the PDF file:
Fourier-Definitions-2006.pdf, which is viewable using Adobe Acrobat Reader.

FTNotes-04.nb Mathematica notebook showing settings for "Fourier Parameters" appropriate for signal processing when using the "FourierTransform" and "InverseFourierTransform" commands in Mathematica.  (Requires Mathematica or MathReader).

Delta-shift.nb  Mathematica notebook showing that a time shift results in a linear phase shift.  (Requires Mathematica or MathReader).

Autocorr-PowerSpec.nb  Mathematica notebook showing that the autocorrelation of a function is the same as the transform of its power spectrum.  (Requires Mathematica or MathReader).

Autocorr-seismogram.nb (1.25 Mb)  Mathematica notebook that explores the convolutional relationship between a random reflectivity function and a wavelet to form a seismogram.  It also considers the estimation of the wavelet spectrum based on the autocorrelation of the seismogram.  (Requires Mathematica or MathReader).