Nanoparticle alumina as a cement accelerator and compressive strength enhancer

A method comprising:

• providing a wellbore temperature and a time dependent compressive strength requirement;
• selecting a concentration of nanoparticulate boehmite wherein selecting a concentration of nanoparticulate boehmite comprises inputting the wellbore temperature and the time dependent compressive strength requirement into the following equation:
• t
• 50
• ⁢
• psi
• =
• If
• 1
• (
• T
• )
• ⁢
• f
• 2
• (
• C
• )
• ⁢
• f
• 3
• (
• T
• ×
• C
• )
• ⁢
• f
• 4
• (
• T
• C
• )
• where t50 psi is time to 50 psi compressive strength, I is a constant, f1 is a function of temperature, f2 is a function of boehmite concentration, f3 and f4 are functions of temperature and boehmite concentration, C is the concentration of nanoparticulate boehmite, and T is temperature, and returning a concentration of nanoparticulate boehmite, wherein f1, f2, f3, and f4 are polynomial functions;
• individually selecting a concentration of a cement, a concentration of a supplementary cementitious material, and a concentration of water;
• preparing dry blend comprising:
• the cement;
• the supplementary cementitious material;
• and
• the nanoparticulate boehmite;
• wherein the cement, the supplementary cementitious material, and the nanoparticulate boehmite, are present in the dry blend in the selected concentrations;
• preparing a cement composition by blending the dry blend with water in the selected concentration of water;
• introducing the cement composition into an annulus formed between a subterranean formation and a pipe string disposed in a wellbore in the subterranean formation;
• and
• setting the cement composition in the annulus to support the pipe string.