A portable apparatus useful for collection and processing of human biological material, such as adipose or cancellous bone material, to prepare a concentrated product (e.g., stromal vascular fraction). The apparatus has a container with a containment volume with a tissue retention volume and a filtrate volume separated by a filter and with a pellet well for collecting concentrate product in the form of a pellet phase from centrifuge processing. The pellet well is accessible only from above when the apparatus is in an access orientation. Collected pellet phase material may be removed from the pellet well by direct aspiration, without suspending the material in a suspension liquid within the container. Access ports may be configured for access only from above the container. The apparatus may include a tissue collector disposed in the disuse retention volume to engage and collect collagen or other stringy tissue. A method of processing adipose tissue to concentrate leuko stromal vascular cells includes multi-step processing using a portable container.