Geoscience Reference
In-Depth Information
a homogeneous first-order equation that integrates simply as:
C
i
C
i
C
in
C
in
i
e
−
t
/τ
−
t
=
−
(G.51)
1
+
β
i
1
+
β
i
0
or
i
1
i
C
in
i
C
i
(
t
)
C
i
(0)e
−
t
/τ
e
−
t
/τ
=
+
−
(G.52)
1
+
β
where the right-hand side contains the sum of the relaxation term and the forcing term.