Determining the empty space within a material, whether a solid, packed bed of particles, or porous rock, is essential in various scientific and engineering disciplines. This process involves quantifying the space not occupied by the material itself. For example, in a packed bed of sand, the space between individual grains represents this crucial metric. This empty space can be expressed as a percentage or fraction of the total volume.
Accurate assessment of this unoccupied space provides critical insights into material properties and behavior. It influences permeability, porosity, and other factors impacting fluid flow, heat transfer, and mechanical strength. Historically, understanding and quantifying this empty space has been crucial for advancements in fields like petroleum engineering, materials science, and chemical engineering, enabling more efficient extraction of resources, development of novel materials, and design of optimized chemical processes.