The typical inverse problems in transport phenomena are given by partial differential equations with unknown boundary conditions, which are to be estimated from measurements corresponding to solutions of the PDEs or of their gradients. The resulting problem is an ill-posed problem, which can't be solved unless it is adequately regularized,...
-
2015 (v1)PublicationUploaded on: March 27, 2023
-
2016 (v1)Publication
We propose a method for the estimation of time dependent distributions of pressure head, water content, and fluid flow in homogeneous unsaturated soils with unknown lower boundary conditions using surface measurements only. The unknown boundary condition is replaced by a piecewise constant temporal function and the resulting discontinuity is...
Uploaded on: April 14, 2023 -
2014 (v1)Publication
The goal of flow rates reconciliation was to adjust measured values and estimate unmeasured streams so as to balance both measured and unmeasured values, identify gross errors and detect leaks and losses. Thus, data reconciliation plays a key role in the monitoring of industrial plants for the early detection of critical events which might...
Uploaded on: March 27, 2023 -
2014 (v1)Publication
Temperatures and flow rates are the most frequently measured variables in industrial processes. They generally form the basis of data reconciliation based on mass and energy balances. While flow rate data rectification is routinely carried out using rigorous linear models of mass balances, energy balances, necessary for the reconciliation of...
Uploaded on: April 14, 2023