Compositions, methods, and systems related to multi-modal distribution of vaterite particles

1. A cement composition, comprising: a bimodal distribution of reactive vaterite cement comprising reactive vaterite cement A having an average particle size of between about 0.1-10 μm and reactive vaterite cement B having an average particle size of between about 11-50 μm.

2. The cement composition of claim 1 , further comprising reactive vaterite cement C having an average particle size of between about 51-100 μm in a trimodal distribution.

3. The cement composition of claim 1 , wherein the reactive vaterite cement A is between about 5-95% by weight in the composition and the reactive vaterite cement B is between about 5-95% by weight in the composition.

4. The cement composition of claim 1 , wherein the composition increases packing density of cement paste in water by between about 1-35%.

5. The cement composition of claim 1 , wherein the composition reduces viscosity of cement paste in water by between about 10-50%.

6. The cement composition of claim 1 , wherein the composition provides paste viscosity in water of between about 800-1600 mPa*s.

7. The cement composition of claim 1 , wherein ratio of the reactive vaterite cement A:reactive vaterite cement B is between about 1:20-20:1.

8. The cement composition of claim 1 , wherein the reactive vaterite cement A has a specific surface area of between about 4,000-40,000 m2/kg and the reactive vaterite cement B has a specific surface area of between about 100-6,000 m2/kg.

9. The cement composition of claim 1 , further comprising Portland cement to form a blended cement composition.

10. The cement composition of claim 9 , wherein the reactive vaterite cement A having a specific surface area of between about 4,000-40,000 m2/kg provides high surface area to nucleate calcium silicate hydrate and dissolve Portland cement in water.

11. The cement composition of claim 9 , wherein the bimodal distribution in the blended cement composition provides paste viscosity in water of between about 800-1600 mPa*s.

12. The cement composition of claim 1 , further comprising slag from metal production, Portland cement clinker, calcium aluminate cement clinker, and/or calcium sulfoaluminate cement clinker.

13. A cement paste or cement slurry composition, comprising: reactive vaterite cement A having an average particle size of between about 0.1-10 μm; reactive vaterite cement B having an average particle size of between about 11-50 μm; water; and interlocking acicular shaped aragonite.

14. The cement paste or cement slurry composition of claim 13 , further comprising Portland cement.

15. The cement paste or cement slurry composition of claim 14 , wherein the reactive vaterite cement A having a specific surface area of between about 4,000-40,000 m2/kg provides high surface area to nucleate calcium silicate hydrate and dissolve Portland cement in water.

16. The cement paste or cement slurry composition of claim 13 , wherein the reactive vaterite cement A and the reactive vaterite cement B provides paste viscosity of between about 800-1600 mPa*s.

17. A method of producing a cement composition, comprising:

(a) calcining limestone to form a mixture comprising lime and a gaseous stream comprising carbon dioxide; (b) dissolving the mixture comprising lime in a N-containing salt solution to produce an aqueous solution comprising calcium salt; and (c) treating the aqueous solution comprising calcium salt with the gaseous stream comprising carbon dioxide to form a composition comprising a bimodal distribution of reactive vaterite cement comprising reactive vaterite cement A having an average particle size of between about 0.1-10 μm and reactive vaterite cement B having an average particle size of between about 11-50 μm.

18. The method of claim 17 , further comprising adding water to the cement composition and transforming the reactive vaterite cement A and the reactive vaterite cement B to interlocking acicular shaped aragonite upon dissolution and re-precipitation in water.

19. The method of claim 17 , wherein the reactive vaterite cement A and/or the reactive vaterite cement B improves packing density of cement paste in water by between about 1-35% and/or reduces viscosity of cement paste in water by between about 10-50%.

20. The method of claim 18 , further comprising setting and hardening of the interlocking acicular shaped aragonite and forming a cement product.