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Asymptotically bounded velocity profiles describe the vertical velocity variations in compacted sediments in a more realistic way than unbounded velocity models, and allow presenting the subsurface by a smaller number of thicker layers. The first and the simplest asymptotically bounded model is the Hyperbolic velocity profile proposed by Muscat in 1937, and our paper is an extension of this early study. The Hyperbolic model has an advantage over other bounded models: The velocity increases withdoi:10.4236/ijg.2013.44067 fatcat:warzfyd6xvhttfkbk2wufegkky