Hello Bashir2008,
You are asking some good, and very difficult questions.
All of these answers can be summarized as 'what would you like it to be'?
As an example, for the answer to your second question, it greatly depends on factors such as: 1) the amount of material that is to be backwashed, 2) the amount of absorbed and adsorbed material on the media, 3) the purity of the backwashing fluid, 4) the velocity of the fluid (turbulend or laminar flow), 5) the viscosity of the fluid, 6) the temperature of the fluid, 7) the final cleanliness of the final filter required and more.
To start, you may want to build a small laboratory size model and determine your answers based on the data you acquire.
Here is some information on porosity which may get you started in the right direction:
http://en.wikipedia.org/wiki/PorosityI wish you the best on your research.
Sincerely,
Eugene