By William Haneberg
Computational Geosciences with Mathematica is the single booklet written via a geologist particularly to teach geologists and geoscientists the right way to use Mathematica to formulate and resolve difficulties. It spans a large variety of geologic and mathematical subject matters, that are drawn from the author's vast event in learn, consulting, and instructing. The reference and textual content leads readers step by step via geologic purposes comparable to customized images programming, information enter and output, linear and differential equations, linear and nonlinear regression, Monte Carlo simulation, time sequence and picture research, and the visualization and research of geologic surfaces. it's choked with real Mathematica output and comprises boxed desktop Notes with information and exploration feedback.
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Additional resources for Computational Geosciences with Mathematica
On the resistivity plot (center), the solid line is the SFLU shallow resistitivity curve whereas the dashed ilne is the ILD deep resistivity curve. On the porosity plot, the solid line is density porosity and the dashed line is neutron porosity. , Asquith and Gibson, 1982). First, low spontaneous potential (SP) values. In this example, the values range from –90 mV to –70 mV and, without knowing anything more about the speciﬁcs of log responses to various sediment types in this basin, –80 mV seems like a good ﬁrst approximation of a cutoff value.
40 2 Special Plots for Geoscience Data In:= pointplot ListStereoPointPlot diplinedata, GrayLevel 0. 7 Equal Area Projections 41 The same ListStereoPointPlot function can be used to plot other linear elements represented by plunge and azimuth angles, for example 3-D paleoﬂow indicators, striations, lineations, and poles to planes (see the Computer Note below). Computer Note: It is often useful to plot poles to planes, which are the lines normal to the planes. Write a short Mathematica function to calculate the orientation of the pole from the strike and dip.
It is more difﬁcult to calculate the equal area projection of a plane than the stereographic projection of a plane because the arc of the former is a portion of an ellipse rather than a circle. In practical terms, though, the increased difﬁculty does not matter because equal area plots are generally not used to plot arcs representing planes. , 1987). 1 Equal Area Projections of Lines Below is an equal area plot of the dip lines contained in the list diplinedata. The function used to create the plot, ListEqualAreaPointPlot, takes the same arguments as ListStereoPointPlot.