Hi All,
I want to derive an analytical solution of a boundary value problem for wellbore plugging. Let us assume, a soil mass is placed in a cylindrical container with full of fluid (water or oil) and fluid will enter to the soil mass. Therefore, soil mass will swell.
Field Problem:
Hydraulic fracture or well bore plugging using bentonite pellet. Fracture initiation process, fluid enter to the rock mass (soil mass) and they swell Or in plugging bentonite pellet absorb fluid and swell.
I used following references, but still not clear how to cope up the solution.
It is noted that I know geotechnical or geomechancis issue but in Petroleum or Minning totally new. At present, I am not considering thermal diffusion part. Most probably the problem is related to the coupled diffusion-deformation process. Any co-operation will be appreciable.
Regards,
Mohammad Nurul Islam
dear Mohammed,
I have checked a good paper concerning this problem about deriving a circular tunnel with/without inner pressure. So you can use it but you have to sum all the input pressures to find the answer.
http://onlinelibrary.wiley.com/doi/10.1002/(SICI)1096-9853(199902)23:2%3C161::AID-NAG963%3E3.0.CO;2-B/abstract
I hope it will be good for your work, and keep us updated.
Dear Mohammed Ismael,
Thank you very much for sending the reference. The approach is little bit different . In referred paper, main focus is the solution of stress and deformation. However, I need to incorporate coupled diffusion which will cause swelling. In Tunnel, when fluid diffused in the rock or soil mass, identical problem develop.
Regards,
Mohammad Nurul Islam
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