Optimization Models for the Design of Vegetative Filter Strips for Stormwater Runoff and Sediment Control

Vegetative filter strips (VFS) are an effective methodology for runoff management and control of sediment flow and soil erosion, particularly for large urban parking lots, and for irrigation water management. An optimization model for the design of vegetative filter strips for runoff management, that minimizes the amount of land required for the strips, is developed herein. The resulting optimization model is based upon the kinematic wave equation for overland sheet flow along with equations defining the cumulative infiltration and infiltration rate. The nonlinear programming (NLP) optimization model has been applied using the General Algebraic Modeling System (GAMS). The runoff management model is extended for the control of sediment. These new models provide flexibility for site‐specific conditions and are a step forward in the development of new design methodologies for stormwater and irrigation flow management. The optimization models have been applied using a sensitivity analysis of parameters such as different soil types, rainfall characteristics etc., performed to validate the model. Results of the example model applications indicate the usefulness of the models for practical applications in the field. To our knowledge this is the first optimization model developed for the design of vegetative filter strips for runoff and sediment control.