hgprieto

Syntax >>> CENTERED Parent Command >> JACOBIAN   Subcommand – Description This command calculates elements of the Jacobian matrix by means of centered finite difference quotients: The evaluation of the Jacobian thus requires (2n+1) TOUGH2 simulations, where n is the number of parameters. The size of the perturbation dp can be controlled using command >>> […]

Syntax >> JACOBIAN Parent Command > COMPUTATION   Subcommand >>> CENTERED >>> FORWARD >>> HESSIAN >>> LIST >>> PERTURB   Description This is the parent command of a number of subcommands that deal with the calculation of the Jacobian matrix J. The elements of the Jacobian matrix, calculated at the calibration points, are the partial

Syntax >>> TAU: (-)niter Parent Command >> ERROR   Subcommand –   Description If multiple observation types (e.g., pressure, flow rate, prior information, etc.) are used to estimate model parameters, the relative weights assigned to each type is given by the ratio where taui are scalars such that Ci = taui * Vi . Here,

Syntax >>> PRIORI Parent Command >> ERROR   Subcommand –   Description The estimated error variance s02 represents the variance of the mean weighted residual and is thus a measure of goodness-of-fit: The a posteriori error variance so2 or a priori error variance sigma02 is used in the subsequent error analysis. For example, the covariance

Syntax >>> POSTERIORI Parent Command >> ERROR   Subcommand –   Description The estimated error variance s02 represents the variance of the mean weighted residual and is thus a measure of goodness-of-fit: The a posteriori error variance s02 or a priori error variance sigma02 is used in the subsequent error analysis. For example, the covariance

Syntax >>> MONTE CARLO (SEED: iseed) (GENERATE) (CLASS: nclass) Parent Command >> ERROR   Subcommand –   Description This command performs Monte Carlo simulations to determine the uncertainty of model predictions as a result of parameter uncertainty. The general procedure is as follows: (1) a probability distribution is defined for each uncertain parameter; (2) parameter

Syntax >>> LINEARITY (: alpha (%)) Parent Command >> ERROR   Subcommand –   Description The covariance matrix of the estimated parameters, Cpp, is calculated using linear error analysis: The confidence region around the estimated parameter set for the linearized case consists of those values p for which where phat is the parameter vector at

Syntax >>> HESSIAN Parent Command >> ERROR >> JACOBIAN Subcommand – Description This command computes a finite difference Hessian matrix H for the error analysis following optimization. The elements of H are given by: The evaluation of H by means of finite differences requires 2n+n*(n-1)/2 additional TOUGH2 simulations, where n is the number of parameters.

Syntax >>> FOSM (MATRIX: ndim) (iTOUGH2) (CORRELATION) (DIAGONAL) Parent Command >> ERROR Subcommand – Description This command performs First-Order-Second-Moment (FOSM) uncertainty propagation analysis. FOSM quantifies the uncertainty of model predictions as result of parameter uncertainty. FOSM is the analysis of the mean and covariance of a random function based on its first order Taylor series

Syntax >>> FISHER Parent Command >> ERROR Subcommand – Description The estimated error variance s02 represents the variance of the mean weighted residual and is thus a measure of goodness-of-fit: The value s02 is used in the subsequent error analysis. For example, the covariance matrix of the estimated parameters, Cpp, is directly proportional to the