Automated real-time transport ratio calculation
Methods, systems, and computer-readable medium to perform operations including determining, in real-time, values of drilling parameters of a drilling system drilling a wellbore. The operations further include calculating, based on the values of the drilling parameters, a cuttings concentration in an annulus of the wellbore (CCA). Further, the operations include calculating, based on the calculated CCA and a mud weight (MW) of a drilling fluid, an effective mud weight (MW eff ) of the drilling fluid. Yet further, the operations include calculating, based on the effective mud weight, a slip velocity of the cuttings. In addition, the operations include calculating, based on the slip velocity, a transport ratio (TR) of the cuttings.
1. A computer-implemented method comprising:
determining, in real-time, values of drilling parameters of a drilling system drilling a wellbore;
calculating, based on the values of the drilling parameters, a cuttings concentration in an annulus of the wellbore (CCA);
calculating, based on the calculated CCA and a mud weight (MW) of a drilling fluid, an effective mud weight (MWeff) of the drilling fluid;
calculating, based on the effective mud weight, a slip velocity of the cuttings;
calculating, based on the slip velocity, a transport ratio (TR) of the cuttings; and
controlling, based on the transport ratio, a component of the drilling system to adjust at least one of the drilling parameters.
2. The computer-implemented method of claim 1 , wherein the effective mud weight is calculated using the equation: (MW eff )=(MW*CCA)+MW.
3. The computer-implemented method of claim 1 , wherein the drilling parameters comprise:
a rate of penetration (ROP) of a drilling tool of the drilling system, a hole size of the wellbore, and a flow rate (GPM) of the drilling fluid.
4. The computer-implemented method of claim 3 , wherein the CCA is calculated using the equation:
C
C
A
=
ROP
*
HoleSize
2
8
1
0
*
G
P
M
.
5. The computer-implemented method of claim 1 , wherein the transport ratio is calculated using the equation:
T
R
=
(
1
-
V
s
a
*
W
c
V
a
n
n
*
E
C
D
e
f
f
)
,
where Vsa is a slip velocity of cuttings, W c is a cuttings density, V ann is annular velocity, and ECD eff is an effective equivalent circulating density.
6. The computer-implemented method of claim 5 , wherein
V
sa
=
V
s
1
+
V
s
2
+
V
sc
3
,
where V s1 is a cuttings velocity calculated based on effective viscosity, V s2 is a cuttings velocity calculated based on apparent viscosity, and V sc is a cuttings velocity calculated based on the rate of penetration.
7. The computer-implemented method of claim 1 , wherein controlling, based on the transport ratio, a component of the drilling system to adjust at least one of the drilling parameters comprises:
determining, based on the transport ratio, a rate of penetration for a drilling tool of the drilling system; and
controlling the drilling tool such that the rate of penetration of the drilling tool is less than or equal to the rate of penetration.
8. A non-transitory computer-readable medium storing one or more instructions executable by a computer system to perform operations comprising:
determining, in real-time, values of drilling parameters of a drilling system drilling a wellbore;
calculating, based on the values of the drilling parameters, a cuttings concentration in an annulus of the wellbore (CCA);
calculating, based on the calculated CCA and a mud weight (MW) of a drilling fluid, an effective mud weight (MW eff ) of the drilling fluid;
calculating, based on the effective mud weight, a slip velocity of the cuttings;
calculating, based on the slip velocity, a transport ratio (TR) of the cuttings; and
controlling, based on the transport ratio, a component of the drilling system to adjust at least one of the drilling parameters.
9. The non-transitory computer-readable medium of claim 8 , wherein the effective mud weight is calculated using the equation: (MW eff )=(MW*CCA)+MW.
10. The non-transitory computer-readable medium of claim 8 , wherein the drilling parameters comprise:
a rate of penetration (ROP) of a drilling tool of the drilling system, a hole size of the wellbore, and a flow rate (GPM) of the drilling fluid.
11. The non-transitory computer-readable medium of claim 10 , wherein the CCA is calculated using the equation:
C
C
A
=
ROP
*
HoleSize
2
8
1
0
*
G
P
M
.
12. The non-transitory computer-readable medium of claim 8 , wherein the transport ratio is calculated using the equation:
T
R
=
(
1
-
V
s
a
*
W
c
V
a
n
n
*
E
C
D
e
f
f
)
,
where V sa is a slip velocity of cuttings, W c is a cuttings density, V ann is annular velocity, and ECD eff is an effective equivalent circulating density.
13. The non-transitory computer-readable medium of claim 12 , wherein
V
s
a
=
V
s
1
+
V
s
2
+
V
sc
3
,
where V s1 is a cuttings velocity calculated based on effective viscosity, V s2 is a cuttings velocity calculated based on apparent viscosity, and V sc is a cuttings velocity calculated based on the rate of penetration.
14. The non-transitory computer-readable medium of claim 8 , wherein controlling, based on the transport ratio, a component of the drilling system to adjust at least one of the drilling parameters comprises:
determining, based on the transport ratio, a rate of penetration for a drilling tool of the drilling system; and
controlling the drilling tool such that the rate of penetration of the drilling tool is less than or equal to the rate of penetration.
15. A computer-implemented system, comprising:
one or more processors; and
a non-transitory computer-readable storage medium coupled to the one or more processors and storing programming instructions for execution by the one or more processors, the programming instructions instructing the one or more processors to perform operations comprising:
determining, in real-time, values of drilling parameters of a drilling system drilling a wellbore;
calculating, based on the values of the drilling parameters, a cuttings concentration in an annulus of the wellbore (CCA);
calculating, based on the calculated CCA and a mud weight (MW) of a drilling fluid, an effective mud weight (MW eff ) of the drilling fluid;
calculating, based on the effective mud weight, a slip velocity of the cuttings; calculating, based on the slip velocity, a transport ratio (TR) of the cuttings; and
controlling, based on the transport ratio, a component of the drilling system to adjust at least one of the drilling parameters.
16. The computer-implemented system of claim 15 , wherein the effective mud weight is calculated using the equation: (MW eff )=(MW*CCA)+MW.
17. The computer-implemented system of claim 15 , wherein the drilling parameters comprise:
a rate of penetration (ROP) of a drilling tool of the drilling system, a hole size of the wellbore, and a flow rate (GPM) of the drilling fluid.
18. The computer-implemented system of claim 17 , wherein the CCA is calculated using the equation:
C
C
A
=
ROP
*
Hole
Size
2
8
1
0
*
G
P
M
,
where ROP is a rate of penetration of a drill bit, HoleSize is a hole size of the wellbore, and GPM is a flow rate of a mud pump of the drilling system.