# Topography effect on the seismogenic deformation of the earth's surface

## TL;DR

This paper compares analytical and numerical models to assess how Earth's topography influences surface displacements after earthquakes, revealing that flat Earth approximations have notable errors especially laterally.

## Contribution

It introduces a comparative analysis of flat slab approximation versus topography-inclusive models for earthquake-induced surface displacements.

## Key findings

- Flat Earth approximation has higher error in lateral displacement.
- Error in displacement magnitude is within 10% of maximum displacement.
- Topography significantly affects surface deformation calculations.

## Abstract

A comparison of the displacements of the earth's surface after an earthquake was made, calculating with the analytical expressions coming from an infinite flat slab approximation and compared with these numerically considering the topography of the Earth. One conclusion of this work is that the flat Earth approximation, has a greater error in the lateral displacement than in the vertical one. It can also be noted that the error in the magnitude of the displacement is less or of the order of ten percent of the maximum displacement of the earth's surface.