One year migrates the top layer and the bottom layer

AES1011

Exercise 1: Underground CO2 storage, v2017

Construct the gas exchange matrix
A		é ê = ê ê ë	0.1	0.83 ú û	,
			0.7
			0.2
	A is the fraction of gas that was originally present in layer

5. To determine the CO2 mass distribution after n years, why should you use Matlab command A^n and not command A.^n?

6.
			m¥ =
	a. Determine	m by approximating

b. Before writing a code in Matlab, draw a flowchart for the logical process you want to implement in Matlab.

7. How is m related to A ? ¥

11. Show that the sum of the eigenvalues is equal to the trace of A , i.e. of the sum of the diagonal elements of A.

12. Which Matlab alternatives can you use to determine T A? -1

!A =	"	0.8	0.1	0.04	%
	$	0.8	0.1	0.04	'
	$	0.15	0.7	0.13	'
	$	0.15	0.7	0.13	'
$ #		0.05	0.2	0.83−ε
is the leakage mass fraction of the CO2 mass present inside the

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