Geology 351 - Geomath Estimating the coefficients of linear, exponential, polynomial, logarithmic, and power law expressions tom.h.wilson tom.wilson@mail.wvu.edu Department of Geology and Geography West Virginia University Morgantown, WV Tom Wilson, Department of Geology and Geography

Hand back test and answer questions. Tom Wilson, Department of Geology and Geography

Objectives - Show how the computer can be used to estimate the coefficients of various quantitative relationships in geology. These include: the linear age-depth relationship discussed by Waltham the exponential porosity depth relationship polynomial relationship between temperature and depth and general power law relationships such as the Gutenberg-Richter relation Tom Wilson, Department of Geology and Geography

Look over problems 4.7 and 4.10 4.7 considers the relationship between bottomset bed thickness and distance from the foot of the delta. 4.10 involves more practice with units. Tom Wilson, Department of Geology and Geography

Today we take a closer look at several familiar quantitative models using Excel The thickness of a bottomset bed at the foot of a delta can often be well approximated by Where t is the thickness, x is the distance from the bottomset bed start and t0 and X are constants. Problem 4.7 Tom Wilson, Department of Geology and Geography

Curve fitting: testing the viability of your mathematical model Are these processes accurately represented using an exponential decay model? Tom Wilson, Department of Geology and Geography

Where else does line fitting come in handy? Basic pump test data Original data showing drawdown during pumping and recovery after pumping ceased. Recovery phase data after transformation, which includes a log transformation of the observation times. Tom Wilson, Department of Geology and Geography

A pilot carbon sequestration site here in the Appalachians Tom Wilson, Department of Geology and Geography

Tom Wilson, Department of Geology and Geography

Residual track relative to the regression line for a horizontal well Landing the drill string: trial and error Tom Wilson, Department of Geology and Geography

Some due dates to put on the calendar Problems 4.7 and 4.10 are due next Tuesday. Computer lab – Estimating coefficients of various mathematical relationships in geology will be due next Thursday, March 14. start reading Chapter 8 – Differential Calculus Tom Wilson, Department of Geology and Geography

Let’s get started on today’s lab Estimating the coefficients of various Mathematical relationships in Geology Tom Wilson, Department of Geology and Geography