Early geophysical papers of the Early geophysical papers of the Society of Exploration Geophysicists earlygeophysical00soci Year: 1947 PROPAGATION OF SEISMIC WAVES 155 The values of these constants were obtained by a least square solu- tion which included all points representing wave paths lying entirely in the upper laver. By use of the following equations V = 2aT + b, b/s'm 80 = a/sin 6 = V, P = 62/87ra(sinh q- q) ,3 q = 2 arc cosh V/b Surface (2) (3) (4) T~ 100' Alluvial Material Limestone Jfrfirtifl 20' Fig. i.—Time-distance curves and approximate section at Green Pond. the velocity d
Early geophysical papers of the Early geophysical papers of the Society of Exploration Geophysicists earlygeophysical00soci Year: 1947 PROPAGATION OF SEISMIC WAVES 155 The values of these constants were obtained by a least square solu- tion which included all points representing wave paths lying entirely in the upper laver. By use of the following equations V = 2aT + b, b/s'm 80 = a/sin 6 = V, P = 62/87ra(sinh q- q) ,3 q = 2 arc cosh V/b Surface (2) (3) (4) T~ 100' Alluvial Material Limestone Jfrfirtifl 20' Fig. i.—Time-distance curves and approximate section at Green Pond. the velocity depth relation is determined. Here V is the velocity at the midpoint of the path of length X and maximum penetration P, V Surface X k\ \+ P Va V I Fig. 2.—Diagram of wave path. and do is the emergence angle for this path. Figure 2 illustrates the meaning of each of these symbols. The velocity-depth curve thus obtained is shown in Figure 3. * Ewing and Leet, Trans. , Geophysical Prospecting, 1932. 815
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