2026-08-042026-08-042026-07-21SOUZA, Paulo Kadu Moura de. Simulação numérica da propagação de ondas sísmicas em 2D utilizando diferenças finitas. Orientador: Rômulo Correa Lima. 2026. 46 f. Trabalho de Curso (Licenciatura em Matemática) – Faculdade de Ciências Exatas e Tecnologia, Campus Universitário de Abaetetuba, Universidade Federal do Pará, Abaetetuba, 2026. Disponível em: https://bdm.ufpa.br/handle/prefix/9815. Acesso em:.https://bdm.ufpa.br/handle/prefix/9815Seismic wave propagation plays a fundamental role in geophysical studies, enabling the investigation of subsurface structures through the analysis of wave behavior in different media. In this context, this work aimed to study seismic wave propagation in a two dimensional medium by applying the Finite Difference Method (FDM) to the wave equation. To achieve this, concepts of geology and geophysics related to the physical properties of rocks and seismic propagation were addressed, as well as the mathematical formulation of the wave equation, from its derivation to its 2D representation with the inclusion of a source term. The development of the work consisted of discretizing the partial differential equation using approximations obtained from Taylor series expansions, enabling its computational implementation in the Scilab software. The simulations were performed on a two-dimensional grid composed of four layers with different propagation velocities and horizontal, inclined, and sinusoidal interfaces, representing distinct geological structures. The results obtained allowed the observation of characteristic seismic propagation phenomena, such as reflection, refraction, interference, and energy spreading, highlighting the influence of velocity variations and interface geometry on the wavefront trajectory. Numerical artifacts arising from the boundary conditions were also identified, demonstrating limitations present in the adopted computational model. It is concluded that the Finite Difference Method presented satisfactory performance in simulating seismic wave propagation, adequately reproducing the main physical phenomena involved and demonstrating its relevance as a tool for computational modeling and for the study of geophysical problems associated with the Earth's subsurface.Acesso AbertoPropagação de ondas sísmicasMétodo das diferenças finitasEquação da onda1D e 2DSimulação computacionalSeismic wave propagationFinite difference methodWave equation1D and 2DComputational simulation.CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA::MATEMATICA APLICADASimulação numérica da propagação de ondas sísmicas em 2D utilizando diferenças finitasTrabalho de Curso - Graduação - MonografiaAttribution-NonCommercial-NoDerivs 3.0 Brazil