Sediment-control fences designed to withstand hydrostatic forces associated with elevated backwater against the fence are disclosed. The fences are made of anisotropic fabric having different mechanical properties such as strength and stiffness in the machine direction versus the transverse direction. The anisotropic fabric may include fibrillated yarns in one direction and monofilaments in another direction. The sediment-control fences may be used without the necessity of wire or chain-link backed supports that are conventionally used to resist structural failure due to hydraulic overtopping of the fences.