An improved acoustically and thermally insulating composite material suitable for use in structures such as buildings, appliances, and the interior passenger compartments and exterior components of automotive vehicles, comprising at least one airlaid fibrous layer of controlled density and composition and incorporating suitable binding agents and additives as needed to meet expectations for noise abatement, fire, and mildew resistance. Separately, an airlaid structure which provides a reduced, controlled airflow therethrough useful for acoustic insulation is provided, and which includes a woven or nonwoven scrim.