Optimized bulk blend formulation based on compressive strength requirements

Patent metadata

Field	Value
Publication number	US-11548831-B2
Application number	US-201916632474-A
Country	US
Kind code	B2
Filing date	Apr 5, 2019
Priority date	Apr 5, 2019
Publication date	Jan 10, 2023
Grant date	Jan 10, 2023

Abstract

A method of designing a cement composition may include: minimizing an objective function subject to a plurality of constraints to produce a cement composition including at least one cement component and water; and preparing the cement composition.

First claim

What is claimed is:

1. A method of preparing a cement composition comprising:
minimizing an objective function subject to a plurality of constraints to produce a cement composition comprising at least one cement component and water, wherein the objective function is an equation to calculate a net specific property of a cement composition per unit volume from a specific property per unit weight of each cement component in the cement composition, a mass fraction of each cement component in the cement composition, a density of each cement component in the cement composition, a mass of water per unit mass of cement components in the cement composition, and a density of water;
generating a cement composition based at least in part on the objective function; and
preparing the cement composition.

2. The method of claim 1 wherein the objective function has the form of:

C
⁢
c
⁢
s

=

∑

m
i

⁢

c
csi

∑

c

c
⁢
s
⁢
i

ρ
i

+

w

ρ
w

where Ccs is a net specific property of a cement slurry per unit volume, m i is a specific property per unit weight of cement component i in the cement slurry, C csi is a mass fraction of cement component i in the cement slurry, ρ i is a density of cement component i in the cement slurry, is a mass of water per unit mass of cement components in the cement slurry, and ρ w is a density of water.

3. The method of claim 1 wherein the step of minimizing an objective function is performed using a constrained optimization process.

4. The method of claim 1 wherein the step of minimizing an objective function is performed using a graphical method.

5. The method of claim 1 wherein the plurality of constraints is at least one of compressive strength, density, or mixability.

6. The method of claim 1 wherein one of the plurality of constraints is compressive strength and wherein the constraint has the form of:

CS
=

C
⁢

S
0

⁢

exp
⁡

(

-

w

c

e
⁢
f
⁢
f

)

≥

CS

r
⁢
e
⁢
q

where CS is compressive strength, CS 0 is compressive strength when a water to cement ratio is 1, CS req is a compressive strength requirement, and c eff is:
C eff =Σα i C i

where α i is a reactive index of cement component i in the cement composition, C i is a mass fraction of cement component i in the cement composition, and C i is subject to the constraint of: ΣC i =1.

7. The method of claim 1 wherein the constraint is density and wherein the constraint has the form of:

ρ
min

<

(

ρ
=

W
+

∑

C
i

W

ρ
w

+

∑

C
i

ρ
i

)

<

ρ
max

where W is a mass of water per unit mass of cement components in the cement composition, ρ w is a density of water, C i is a mass fraction of cement component i in the cement composition, and ρ i is a density of cement component i in the cement composition.

8. The method of claim 1 wherein the constraint is mixability and wherein the constraint has the form of:

M

mi
⁢
n

<

W

W
⁢

R
Blend

<

M
max

where M max is a maximum amount of water in the cement composition, M min is a minimum amount of water in the cement composition, W is a mass of water per unit mass of cement components in the cement composition, and WR Blend is a water requirement of the cement components in the cement composition.

9. The method of claim 8 wherein the water requirement of the cement components is a linear combination in the form of:
WR Blend =ΣC i WR i

where C i is a mass fraction of cement component i in the cement composition, and WR i is a water requirement of cement component i in the cement co

Assignees

• Halliburton Energy Services Inc

Inventors

• Singh John Paul Bir
• Pang Xueyu
• Yerubandi Krishna Babu
• Morgan Ronnie Glen
• Pisklak Thomas Jason

Classifications

• B28C7/04

  Supplying or proportioning the ingredients {(B28C7/022 takes precedence; forming a predetermined ratio of the components to be mixed, in general B01F35/80)} · CPC title

• E21B33/13

  Methods or devices for cementing, for plugging holes, crevices or the like · CPC title

• C04B2201/50

  for the mechanical strength · CPC title

• C04B40/0032 Primary

  Controlling the process of mixing, e.g. adding ingredients in a quantity depending on a measured or desired value (B28C7/00 takes precedence) · CPC title

• C04B18/08

  Flue dust {, i.e. fly ash} · CPC title