A technique facilitates dispersion of injected fluid flow. A well string may be constructed with a screen assembly having a base pipe with a radial port, a filter medium, and a housing positioned along an exterior of the base pipe. The housing is constructed and positioned to form a chamber which receives high-pressure fluid exiting from an interior of the base pipe through the base pipe port. In some applications, a separate nozzle may be mounted in cooperation with the base pipe port. The screen assembly further comprises a dispersion member having features positioned in a flow path of the injected fluid to disperse the flow and thus to reduce the erosive effects.