# Microcomputer programs for groundwater studies, Òîì 30 by David Clarke By David Clarke

This booklet presents the working towards hydrogeologist with a range of microcomputer courses which the writer has came upon to be very precious as an relief within the research of groundwater wells and aquifers. The courses are written in simple and are designed to fit as extensive quite a number machine as attainable. The booklet starts off with a bunch of courses which resolve a number of of the commonest capabilities encountered in groundwater technology. those are then constructed into courses able to calculating drawdown in various discharge rate/aquifer/boundary configurations, both at one time, or a chain of exponentially expanding occasions. the writer exhibits how a computerised kind of Newtons approach (for fixing tough equations) should be utilized to such initiatives as comparing garage coefficient if transmissivity is understood. Lagrangian interpolation is used to provide actual values from tabled capabilities, both inside of a software, or on call for. one of many significant courses within the e-book can be used to go into discharge attempt information right into a machine, edit it as required (e.g. switch drawdown measurements from ft to metres, or water degrees to drawdowns etc.), and eventually to examine the knowledge.

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It may mean that the initial guess needs to be changed. ) The program is designed for speed. To this end, most numerical constants are loaded into variables at the beginning, and in the iterative part of the program it is these variables that are referred to rather than the numeric constants. ) Finally an indication of the accuracy of the found solution is given. Useage of variables in program Newton. Is the 'small number' which is added to X so that the approximate derivative may be calculated from the slope of the line joining f(X) and f(X+H) .

1 Chapter 2 In this chapter we will use some of the programs described in the first chapter as SUbroutines in solutions of a few practical groundwater problems. We will start with a simple case and work toward some that are a little more complex. 1. 1. A simple confined aquifer, program CONFDD This program applies WELLFUNC, developed last chapter, in a solution of the Theis equation. In operation it is very similar to it's predecessor. 1) where r is the distance from the diSCharging well to the piezometer (ie.

Functions N1 and N2 are the two polynomial approximations to the well equation. Function D3 is the derivative of function N2. Note that functions D1 and D2 are used in the definition of D3 in order to keep it a reasonable length. Function D4 is the derivative of N1. functions have been checked against approximate (The derivative derivatives calculated from tabulated values of the well function. 8 Evaluation of S as good an agreement as can be expected considering the approximate nature of the test over the full range of the available tables, ie.