A New Type of Bipartite Random Graph as a Transform of Seismogram and Its Potential for Organizing Seismic Databases

This paper proposes a method to reduce seismogram variability as determining factor in its interpretation, processing, and clustering. By introducing the concept of single fluctuations (SFs), can be parsed into sequence random impulses with subsequent ordering. rearrangement SFs, if they are assigned by positive integers, represents formal mapping regular string integers one, which represented bipartite graph (bigraph). Due specific randomness, such bigraph is considered new type balanced bigraph. The R-envelope RQ-envelope, equidistant version, defined tracing peak envelope over ordered SFs. equivalence complementariness RQ discussed, forming combined characteristic seismogram. R/RQ provided considerable reduction variability, was confirmed creating analyzing an ensemble from several seismograms. In domain, distance possible basis for metrics clustering, but quite narrow not suitable this purpose. Otherwise, shows high redundancy hidden population. As bigraph, mesh edges structuralized bundles, skeleton, reflects internal structural content domain bigraphs proposed show possibility means that only provides frame representation reduced and, thus, potential more effectively organizing seismic databases deeper interpretation seismograms; therefore, RQs transform Many aspects these concepts thoroughly discussed. similarity between SF wavelets briefly considered. very complex theme promises broad further research. All issues abundantly illustrated.