Before revision:  With the parameter giving the plane containing the fault denoted by m , we prove that the reconstructed ] posterior marginal of m is convergent as the number of measurement points and the dimension of the space for discretizing slips increase.
After revision:  With the parameter giving the plane containing the fault denoted by m and the regularization parameter for the linear part of the inverse problem denoted by C, both modeled as random variables, we derive a formula for the posterior marginal of m. Modeling C as a random variable allows to sweep through a wide range of possible values which was shown to be superior to selecting a fixed value ] posterior marginal of m is convergent as the number of measurement points and the dimension of the space for discretizing slips increase.