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Equivalent mutual impedance between cables with earth return

Definition according to Cigre TB 531 chap. 4.2.3.8

Symbol
$Z_x$
Unit
$\Omega$/m
Formulas
$R_E+j X_{ap}$general case
$\frac{2Z_c+Z_L}{3}$flat formation, without transposition
Related
$R_E$
Equivalent resistance of earth return path [$\Omega$/m]
$X_{ap}$
Equivalent mutual reactance between conductors [$\Omega$/m]
$Z_c$
Mutual inductance between middle and outer cables in flat formation with earth return [$\Omega$/m]
$Z_L$
Mutual inductance between outer cables in flat formation with earth return [$\Omega$/m]
Used in
$Z_d$
Positive sequence impedance [$\Omega$/m]
$Z_h$
Zero-sequence impedance [$\Omega$/m]