This book, split into two volumes, centers on the classical Lamb’s problem in seismology, offering a deep examination of the relative fundamental theories of seismology and two solutions to Lamb’s problem. The first volume (Vol. 1), which delves into the theoretical background and one solution of Lamb’s problem, progressively explaining the displacement representation theorem of elastodynamics, the source representation theorem, equivalent body forces, and seismic moment tensors, along with the issue of seismic waves in infinite media. It also reviews studies on Lamb’s problem, providing a systematic introduction to its frequency-domain solutions and numerical implementations. The book meticulously and clearly articulates theories and methods, facilitating self-study. It is intended as a reference for senior undergraduate and graduate students in geophysics at universities, and also offers valuable insights for university faculty and researchers in related fields.
Introduction.- Fundamental Theorems of Elastodynamics.- Theory of
Seismic Source Representation.- Seismic Waves in Infinite Homogeneous
Medium.- Overview of Researches on Lambs Problem.- Frequency-domain Solution
of Lambs Problem (I): Theoretical Formulas.
Dr. Haiming Zhang is an Associate Professor in the School of Earth and Space Sciences at Peking University. He earned a Ph.D. in Geophysics at Peking University in 2004. His research focuses on theoretical seismology and earthquake source dynamics. His main accomplishments include improving the generalized reflection/transmission coefficient method for computing theoretical seismograms, integrating the half-space Green's function, which is the key topic covered in this two-volume set, into the boundary integral equation for simulating the dynamic spontaneous propagation of earthquake sources, and developing corresponding numerical algorithms.
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