TITLE:
The Application of the Generalized Finite Difference Method (GFDM) for Modelling Geophysical Test
AUTHORS:
Angel Muelas, Eduardo Salete, Juan José Benito, Francisco Ureña, Luis Gavete, Miguel Ureña
KEYWORDS:
Meshless Methods, Generalized Finite Difference Method, Geophysics
JOURNAL NAME:
Journal of Geoscience and Environment Protection,
Vol.7 No.4,
April
10,
2019
ABSTRACT: The possibility of using a nodal method allowing irregular distribution of
nodes in a natural way is one of the main advantages of the generalized finite
difference method (GFDM) with regard to the classical finite difference method.
Moreover, this feature has made it one of the most-promising meshless
methods because it also allows us to reduce the time-consuming task of mesh
generation and the numerical solution of integrals. This characteristic allows
us to shape geological features easily whilst maintaining accuracy in the results,
which can be a source of great interest when dealing with this kind of
problems. Two widespread geophysical investigation methods in civil engineering
are the cross-hole method and the seismic refraction method. This
paper shows the use of the GFDM to model the aforementioned geophysical
investigation tests showing precision in the obtained results when comparing
them with experimental data.