Propagation of love waves in a non-homogeneous stratum of finite depth sandwitched between two semi-infinite isotropic media

Abstract

The possibility of propagation of Love-waves in a non-homogeneous internal stratum internal stratum of finite depth sandwitched between two semi-infinite isotropic media has been studied in this paper. The density and rigidity both are considered to be variable, density being taken as $$\varrho 2 = \frac{{\varrho 0}}{{\left( {1 + \alpha z} \right)}} and rigidity \mu 2 = \frac{{\mu 0}}{{\left( {1 + \alpha z} \right)}},$$ ϱ0 and μ0 are constants. The velocity β=c2 is taken here as constant $$ = \surd \overline {\mu 2} /\varrho 2 = \surd \overline {\mu 0} /\varrho 0$$ . It is found that the phase velocityc exists between the limitc 2<c≦(1.121c 2). The variability ofKH (whereK, the wave number andH, the depth of the internal medium) with the change ofc/c 2 andC/c 2 (whereC is the group velocity) is shown graphically.