The finite deformation of a reinforced packer, membrane theory

✍ Scribed by C. Atkinson; B. Peltier

• Publisher: Springer
• Year: 1993
• Tongue: English
• Weight: 536 KB
• Volume: 27
• Category: Article
• ISSN: 0022-0833
• DOI: 10.1007/bf00128766

✦ Synopsis

Using a membrane theory, an analytical solution is reached for the deformation of a packer membrane reinforced with inextensible cords. This model gives the deformation of the membrane and the levels of strain and stress in the membrane and the cords. The model enables one to study the influence of the various design parameters on the behaviour and integrity of the packer. Based on the outputs of the model, packer design suggestions are made which are expected to be of practical significance.

Notation

2h 0 initial membrane thickness (L); W strain energy (ML -T 2 ); Al meridian extension; 2 radial extension; A 2 maximum A 2 , i.e. packer expansion ratio; 21, initial membrane length (L); P relative inflation pressure (ML ' T 2 );