List of top Geology and Geophysics Questions on Geophysical Data Interpretation

A geophysical forward problem is expressed as \( d = 7m_1^2 m_2 + 6m_2 \), where \( m_1 \) and \( m_2 \) represent the model parameters and \( d \) represents the data. Then, the relationship between data and model parameters is

An overdetermined linear inverse problem is expressed as \( Gm = d \), where \( G \) is the data kernel, \( m \) is the vector of model parameters and \( d \) is the vector of observed data. If damping is applied to the inverse problem and the resultant generalized inverse is represented by \( G^{-g} \), the \textbf{model resolution matrix can be expressed as:}