Models of the Near-Surface Distortions - Models and Methods of Magnetotellurics - page 232

and

⎧
⎨

2

S 1
S 1

−

1

e − ( | y |− v ) / d

| | ≥ v

n ˙ 1 − S 1

S 1

y

cot h d

1 +

⊥ ( y )

≈ .

(7 79)

2

⎩

S 1
S 1

1 −

1
sin h d

y
d

n − S 1

S 1 +

| y | ≤ v,

¨ 1 cos h

cot h d

where d = g , d = g are adjustment distances for side and central segments 1 / 1 /

and Z N =

Z N =−

n = o h 2 .
These equations clearly demonstrate the key features of the S -effect in the three-
segment model.
The most pronounced S -effect is observed at the edges of the central segment:

i o h ,˙ n = ¨

⎡ ⎤

⎧
⎨
⎩

S 1
S 1

⎣ 1 − ⎦

Z N

1 − S 1

S 1

| y | = v + 0

cot h d 1 +

⎡
⎣

⎤
⎦

Z ⊥ ( ± v ) ≈ (7 . 80)

1 cot h d

S 1
S 1

−

Z N

1 − S 1 | y | = v − 0

cot h d

S 1 +

and

⎧
⎨

2

S 1
S 1

1 −

n ˙ 1 − S 1

S 1

| y | = v + 0

cot h d 1 +

⊥ (

± v ) ≈ (7 . 81)

1 cot h d

2

⎩

S 1
S 1

−

n ¨ 1 − S 1 | y | = v − 0 .

cot h d

S 1 +