By Wu J., Dong Q., Liu M.
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Extra resources for 3D simulation on the unit duct in the shell side of the ROD baffle heat exchanger
This, in fact, defines the wavelet center. (2) The breadth of the wavelet, measured in seconds, say, is proportional to the square root of the travel time of its center, the law holding for all wavelet types. 56 TIME IN SECONDS 2 ι I CALCULATED SEISMOGRAMS FOR PR IMARY-DILATATIONAL-WAVELET - DATA C * 2 . 2 3 « 10 - CM/SEC. · • IO T GMS/CM/&EC. f = 2 . /CM' = A "Γ Ρ RELATIVE TRUE S = AMPLIFICATION TO TRIM RECORD DISTANCE NUMERICAL DISTANCE ί I I I I I I i I i I I I I I I I I II Fig. 3. Calculated seismograms for primary dilatational wavelet; showing change in wave form, attenuation, broadening, and uniform velocity of wavelet center.
It shapes the wavelet form and determines its laws of propagation. If, on the other hand, ω is made smaller and smaller, then we can indeed neglect as being much smaller than (l/co )(^Xi/^0 d in that case the Stokes wave equation degenerates into the conduction of heat equation: 0 0 X l 0 0 X l 0 through one integration with respect to the time. $ \ ω 3£/ c bt + 0 2 ( 3i) 2 We shall call Φ a generating function from which other functions may be derived by differentiation with respect to time, as will be explained later.
55 1L(U|R) With numerical distance as a parameter Fig. 2. Wavelet forms — velocity type. In Fig. 3 there are shown seismograms computed for numerical distances 25, 50, 100 and 200, corresponding to actual distances in a representative shale near the earth's surface of 100,200,400 and 800 feet. These computed seismograms show the advance of the wavelet center uniformly with increasing distance, the broadening of the wavelet as it advances, and the development of asymmetry near the source because of dispersion among the high-frequency components of the disturbance.