INVESTIGADORES
DIAZ Maria Soledad
congresos y reuniones científicas
Título:
Dynamic Optimization Strategies for Control of Algae Growth in Eutrophic LAKES with Nonpoint Nutrient Sources
Autor/es:
JIMENA DI MAGGIO; VANINA G. ESTRADA; MARIA SOLEDAD DIAZ
Lugar:
Atlanta
Reunión:
Congreso; AIChE Annual Meeting 2014; 2014
Institución organizadora:
AIChE (American Institute of Chemical Engineers)
Resumen:
We address the optimal planning of alternative restoration strategies of eutrophic water bodies,
mainly affected by nonpoint nutrient sources, through advanced dynamic optimization techniques.
Restoration strategies that involve chemical and physical processes and biological manipulation have
been studied and implemented to reduce algal blooms and their consequences (Paerl and Otten, 2013;
Jeppesen et al., 2012; Estrada et al., 2011) as eutrophication is the most serious environmental
problem in many lakes and reservoirs.
Artificial wetlands have been largely used to decrease external nutrient loading from nonpoint sources
and, in this way, carry out bottom up control on phytoplankton growth. However, biogeochemical
processes that take place within water bodies delay restoration (phosphorus and nitrogen recycles, as
well as nutrient release from sediments). Additional inlake strategies have been proposed and applied,
such as hypolimnetic oxygenation and biomanipulation (Søndergaard et al., 2007). Moreover,
macrophytes play an important role on biological processes of water bodies, since they capture
nutrients from the water column and sediments, act as zooplankton refuge and, in some cases,
produce substances that inhibit algal growth (Jeppesen et al., 2012; Asaeda and Bon, 1997).
We have implemented some of these strategies as different optimal control problems in previous
work, by developing ecological water models integrated to optimization strategies to evaluate
management strategies in both the short and long term (Estrada et al., 2011). In this work, we include
mass balances for the macrophyte population, modeling roots and leaves biomass as different
submodels. The net growth of macrophytes results from photosynthesis, respiration, dead, reserves
and reallocation of dead biomass (Asaeda and Bon, 1997). The resulting dynamic optimization
problems are subject to complex partial differential algebraic equations (PDAE) systems representing
the main biogeochemical processes that take place within these water bodies. The PDAE systems
result from dynamic mass balances for the different submodels for macrophytes, three phytoplankton
groups (cyanobacteria, diatomea, chlorophyta); two zooplankton groups (cladocera, copepoda) and
three size classes of local zooplanktivorous fish, as well as dissolved oxygen and main nutrients.
Algebraic equations stand for forcing functions profiles, such as temperature, solar radiation, river
inflows and concentrations, etc. Optimization variables (time dependent degrees of freedom) are
associated to the reduction of nutrient loading by deviation to an artificial wetland (tributary flowrate
to wetland profile) and inlake
restoration through fish removal rate for each of the class sizes. The
dynamic optimization problem is formulated within a control vector parameterization framework
(PSEnterprise, 2013). The present study has been performed on Paso de las Piedras Reservoir (38° 22
´ S and 61° 12´ W), which is the drinking water source for two cities in Argentina. Numerical results
provide optimal profiles for planning of the restoration actions, as well as a quantitative estimation of
restoration effects on the water body, along a middle term time horizon.