in mat lab do the following A man-made square-shaped island sits in a large fres
ID: 3854066 • Letter: I
Question
in mat lab do the following
A man-made square-shaped island sits in a large fresh water lake, the surface of which lies at 132 m
above mean sea level. The island is 5 kilometers long and 5 kilometers wide. There is a small aircraft
maintenance facility on the north central part of the island that uses a single water well to supply a fire
suppression system. The pump in this well does not operate under normal circumstances. The fire
suppression well is located 4155 m north and 2675 m east of the southwest corner of the island.
You are tasked with completing a study to evaluate the installation of a water supply well into the
confined aquifer on the island. Using centered finite differencing, simulate a steady-state solution for
the following partial differential equation in two dimensions to find a maximum pumping rate, Q, such
that the water level (head, h) in the fire suppression well does not fall below 128 m above mean sea
level.
2h
r2=1r
Q
A Kh
where
A= Db .
D = the diameter of the well bore;
b = the thickness of the aquifer;
Kh = hydraulic conductivity; and
r = distance from the well.
You will complete this assignment in two parts.
Part I:
a. Represent the island as a grid with a resolution of 10 meters.
b. Identify the boundary conditions and initial head values.
c. You will be given measurements of hydraulic conductivity (Kh) at 12 locations dispersed about the
island. This data can be correlated and used to estimate the values of Kh at every grid cell using the
technique of Simple Kriging. This technique is beyond the scope of this course, and the result of it will
be provided to you.
Part II:
Select an initial location for your well. Then implement a steady-state model to evaluate the drawdown
at every location in your model. Generalize your code so that you can easily change the location of
your well. Select your well position(s) so that the distance between the well and the edge of the island
is greater than 1 km.
Explanation / Answer
GEO 866
Thursday, October 27, 2016
Spatially Continuous Data: Ordinary &Universal Kriging
Last time we discussed simple kriging (SK). SK requires that the mean be known (and removed) prior to modeling the second order effects. Ordinary kriging is an extension that implicitly estimates a local mean, and is commonly used in prediction. Universal Kriging estimates a global first order trend as well as solving simultaneously for second order effects.
Bailey & Gatrell, 188 - 201
A diversion: making good prediction maps in R (projection, study area definition, base "framework" data, plotting with map elements). And a data source.
V. Influence of Variogram Model Parameters
The following section applies to different forms of kriging.
The Nickel data from Jura is used to illustrate this.
Nugget. If we perform simple kriging using a variogram that is wholly a nugget model, what do we get?
Effect of increasing nugget size on model estimation
Conclusions:
Sill. Does changing the sill have a larger effect on the estimation or the variance?
Conclusions:
Range. How do different ranges affect the resulting estimate and variance maps?
Conclusions:
Multiple adjustments. We can change combinations of nugget, sill, and range to fit just the first lags well, or to fit a larger part of the empirical semivariance reasonably well.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.