Schmucker-Weidelt Lecture Notes, Aarhus, 1975 - MTNet

Let us first consider the case m = 2. Assume that there are L uni-
------ (3 ------
I
z =o form layers below z = z2 with conz=zl
ductivities (3 I' (3 2~ * s t a1,r and
upper edges at z = hlr h2, ..., hL
' (hl = z2). In applications, the
z=z,=h, vertical grid width z - z2 will be
'. 4
' so small that zo is in the first
z=z
o uniform layer. Then a solution of
?=h - -2
,r (3.26) having the correct singu-
U
2 z=h3 larity is
.,
IIowever, the boundary condition (3.27) is not yet satisfied. and the
normal conductivity structure has not yet been taken into account.
To achieve this let in
m . o: (z-z ) -a (z-z )
z