Kirchhoff–Helmholtz reflection seismograms in a laterally inhomogeneous multi-layered elastic medium – II. Computations

Summary. High-frequency reflection and refraction seismograms for laterally variable multi-layered elastic media are computed by using the frequency domain elastic Kirchhoff–Helmholtz (KH) theory of Frazer and Sen. Both source and receiver wavefields are expanded in series of generalized rays and then elastic (KH) theory is applied to determine the coupling between each source ray and each receiver ray at each interface. The motion at the receiver is given as a series of integrals, one for each generalized ray. We use geometrical optics and plane wave reflection and transmission coefficients for rapid evaluation of the integrand. When the source or the receiver ray field has caustics on the surface of integration geometrical ray theory breaks down and this gives rise to singularities in the KH integrand. We repair this using methods suggested by Frazer and Sen.
Examples of reflection seismograms for 2-D structures computed by elastic KH theory are shown. Those for a vertical fault scarp structure are compared with the seismograms obtained by physical modelling. Then OBS data obtained from the mid-America trench offshore Guatemala area are analysed by computing KH synthetics for a velocity model that has been proposed for that area. Our analysis indicates the existence of a small low-velocity zone off the trench axis.
No head wave arrivals are obtained in our KH synthetics since we do not consider multiple interactions of a ray with an interface. The nearly discontinuous behaviour of elastic R/T coefficients near the critical angle causes small spurious phases which arrive later than the correct arrivals.     

Linking neo- and palaeolimnology: a case study using crater lake diatoms from central Turkey

Palaeoenvironmental interpretations from analyses of lake sediment archives are dependent on our understanding of the modern lake environment and the link between neo- and palaeolimnology. Diatom assemblages represent different lake habitats and vary in species composition and abundance on seasonal and annual timescales. These factors, along with mixing at the mud-water interface, alter the information recorded in the sedimentary archive and the resulting interpretation of environmental variables in the past. Nar Gölü (central Turkey), a crater lake with annually laminated sediments, is used to investigate the link between modern and palaeo diatom assemblages. Information about the modern diatom population has been gathered through sampling of different lake habitats (1999–2009) and installing seston sediment traps in the water column (2002–2007). The palaeo diatom assemblage has been analysed through annual-resolution percentage counts and biovolume calculations on core sediments (1927–2006), along with identification of sub-annual assemblage changes through microscopic analysis of core thin sections. Comparisons of data collected using these different methods has shown a good correspondence between sediment trap and core results, but revealed that blooms of two diatom species (Nitzschia paleacea and Synedra acus), in each case occurring on average 1 year in five, can have major impacts on percentage calculations and may result in distorted and misleading palaeoenvironmental interpretations. These two species distort the average signal and may bloom for short periods of time as a result of short duration changes in lake water chemistry, such as following fresh-water input from snow melt. Blurring of sedimentary records through mixing at the sediment–water interface can mask the full magnitude of environmental variation and low sampling resolution may fail to capture high amplitude events of short duration.