HORTON: THE EFFECT OF ROUGH INTERFACES ON SIGNALS 

 THAT PENETRATE THE BOTTOM 



r^= (L + 6x)^ + (5y)^ + (5D + 6z) ^ 



R^= (L + 6x)^ + (6y)^ +(— + 6D + 5z)^ 



DEFINE R 



2 ^2jc \: 



BASIC APPROXIMATIONS 



L > > 6x, 6y, 6z, 6D 



'Y2yV ^ 2yJ - Y 



V 



2 -, -1 



CO _i ~ ^ Y '^ 1 sec 



^^ ^ oj > 600 sec"""- 



AND EXPANDING: tanh """I- TO LINEAR TERMS 



K 



IN 6x, 



Figure 7. APPROXIMATIONS 



286 



