| Dam-water 
              interaction effects can be visualized as an added mass, an added 
              damping, and an added force. Such added hydrodynamic terms can significantly 
              affect dynamic response of concrete dams to earthquake loading. 
              The added hydrodynamic mass tends to lengthen resonant periods of 
              the dam. The added force presents additional seismic inertia load 
              acting on the dam. The added damping term arises from the transmission 
              (absorption or loss) of energy at the reservoir boundaries and from 
              propagation of pressure waves in the upstream direction. The energy 
              loss or transmission at the reservoir boundaries is usually approximated 
              by a wave reflection coefficient known as "alpha". An 
              alpha=1 corresponds to a total reflection (i.e. no transmission) 
              and alpha=0 represents total transmission into the boundary materials. 
              If the reservoir boundary materials are relatively soft, an important 
              fraction of the reservoir water energy can be transmitted, leading 
              to a reduction in hydrodynamic pressures and thus dynamic response 
              of the dam. Quest 
              Structures has developed and applied three different geophysical 
              techniques to measure in-situ values of the reservoir-bottom reflection 
              coefficient (alpha). These include seismic reflection, seismic refraction, 
              and acoustic reverberation techniques that have been employed at 
              two dams in China and seven dams in the United States. National 
              Science Foundation 
              Sponsored ProjectsUS 
            Army Corps of Engineers and US Bureau of Reclamation Sponsored Projects- Dongjiang Dam, China
 - Longyangxia Dam, China
 - Monticello Dam, California
 - Pine Flat Dam, California
 - Hoover Dam, Nevada-Arizona
 - Glen Canyon Dam, Nevada
 - Morrow Point Dam, Colorado
 - Crystal Dam, Colorado
 - Folsom Dam, California
 
 
 
 
 
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              Reflection 
              and refraction at a plane interface
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