One aspect of the present invention relates to a multilayer surgical membrane. The surgical membrane can include a substantially fluid impermeable outer layer, an inner layer that includes a plurality of fenestrae, and a middle region disposed between the inner and outer layers. The middle region can include at least one channel that extends through the middle region. The middle region can have a first surface in contact with the inner layer. The at least one channel can imbibe fluid under a compressive or tensile load and the fenestrae can deform to exude fluid under the load.