Optimal management of flows arising in the bioventing techniques (BV) for soil remediation problems is considered. The aim is to determine optimal locations and flow rates of injection and extraction wells, in order to cover the contaminated region by a uniform air velocity flow field.
An air flow optimization criterion is considered leading to a mathematical programming problem. Several numerical experiences have been employed: in all tests we show that wells are placed outside the contaminated zone and they surround it.
Bioventing
Porous media
Optimization
Uniform flows
The numerical construction of a symmetric Toeplitz matrix having prescribed eigenvalues is faced by a two-step method using the continuation idea. The Cayley transform is exploited in order to integrate flows in the linear subspace of skew-symmetric and centro-symmetric matrices.
In this paper we deal with high oscillatory systems and numerical methods for the approximation of their solutions. Some classical schemes developed in the literature are recalled and a recent approach based on the expression of the oscillatory solution by means of the exponential map is considered. Moreover we introduce a new method based on the Cayley map and provide some numerical tests in order to compare the different approaches
In bioventing the radius of effectiveness of a single injection well play a very important rule. The mathematical model exposed uses the radius of bioremediantion to set-up an optimal strategy for the spatial collocation of the injection wells in the polluted site.
bioventing
wells injection
mathematical modeling
fluid dynamics in porous media
