Fast and green parallel isogeometric analysis computations for multi-objective optimization of liquid fossil fuel reserve exploitation with minimal groundwater contamination.

We present a general optimization technique to minimize the execution time, energy consumption, and numerical error of a parallel isogeometric finite element method (IGA-FEM) solver for time-dependent problems. The IGA-FEM solver is called upon multiple times during inverse problem computations. It is used to evaluate the inverse problem parameters. As an exemplary challenging problem, we consider the IGA-FEM solver as a primal solver for the inverse optimization of hydraulic fracking. Liquid Fossil Fuel Extraction Problem (LFFEP) is defined to maximize extraction and minimize contamination for the hydraulic fracking process. Solving the LFFEP problem requires hundreds of computationally demanding calls to the IGA-FEM solver. Thus, we research the optimal configuration of the IGA-FEM solver to make computations more efficient; i.e., to reduce computation time and energy consumption where the input parameters are the number of utilized CPUs in a parallel environment, mesh size, and B-spline order. The algorithm presented in this paper can be used to optimize any similar time-dependent IGA-FEM simulation.