Tesseroids: Forward-modeling gravitational fields in spherical coordinates
By Leonardo Uieda, Valeria C. F. Barbosa, Carla Braitenberg. 2016
182 citations recorded by the source corpus.
ABSTRACTWe have developed the open-source software Tesseroids, a set of command-line programs to perform forward modeling of gravitational fields in spherical coordinates. The software is implemented in the C programming language and uses tesseroids (spherical prisms) for the discretization of the subsurface mass distribution. The gravitational fields of tesseroids are calculated numerically using the Gauss-Legendre quadrature (GLQ). We have improved upon an adaptive discretization algorithm to guarantee the accuracy of the GLQ integration. Our implementation of adaptive discretization uses a “stack-based” algorithm instead of recursion to achieve more control over execution errors and corner cases. The algorithm is controlled by a scalar value called the distance-size ratio (D) that determines the accuracy of the integration as well as the computation time. We have determined optimal values of D for the gravitational potential, gravitational acceleration, and gravity gradient tensor by comparing the comp...
Subfields: Geophysics, Molecular Biology, Oceanography
View Paper: https://www.semanticscholar.org/paper/d75b840faa742b0055bfe44323fed5017b9c13d1
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Citations in the corpus
- Fast nonlinear gravity inversion in spherical coordinates with application to the South American Moho (2017, methodology): “The tesseroid forward modelling uses the adaptive discretization algorithm of Uieda et al. (2016) to achieve accurate results.”