Introduction to Data Assimilation for Scientists and Engineers

• Control vector \(\underline x\):

  • 1D or 2D fields : water level, velocities, ground water content, soil humidity,

  • Parameters : drag coefficients, hydraulic conductivity

  • A thousand of grid points

• Observation vector \(\underline y\):

  • Satellite data: ground water content, altimetry

  • In-situ data: river water level, piezometers, precipitations

  • A hundred of observations

Hydrogology deals with much less data than meteorology or oceanography. Nevertheless, data assimilation is used to predict floods as well as scarcity of water resources.