Assignment #2
Hydrostatic Pressure Due: December 25
Name: Ali kamel abdul-ameer
Include additional worksheets with calculations for partial credits in the event your final answer is not correct.
1 Calculate the hydrostatic pressure at the bottom of the fluid column for each case shown.
12 the
Calculate
the equivalent
A well has
following
profile: density at 7000' depth of the following mixed fluid column.
Gravel
Sp. gr = 2.68
Porosity 25%
5720
Casing
5720
5720
Total depth 16,400' (vertical well)
16'' Open Hole, Surface casing 13 3/8" OD and 12 3/7" ID of 68.00 lb/ft set at 2000'. 12.5'' Open Hole,
Intermediate Casing 9 5/8"OD and ID of 8 2/3", 47 lb/ft, set at 8,458' .8.5'' Open Hole, Drilling liner 7" (6" ID)
(Grade N-80) interval between 8,400' to 14,200' Open Hole, Bit diameter 5.5"
Drill string:
5" drill pipe 19.50 lb/ft nominal weight, (4.276" ID) surface to 8300'.
3 1/2'' drill pipe 13.30 lb/ft nominal weight between 8,300' to 15,200'.
(For the ID on the 3 1/2" drill pipe remember that density of steel is 65.5 lb/gal)
Drill collars, 4 3/4" OD, x 2 1/4" ID, 46.70 ppf, 15200' to TD.
Surface mud system:
3 mud tanks, each 9' high, 7' wide, 36' long.
With the entire drill string out of the hole:
Mud level in tanks No. 1 & 2 is 72" of mud and tank No. 3 has 60" of mud (M.W: 11 ppg) For the following
2
𝑽𝑽𝑻𝑻𝑻𝑻𝑻𝑻𝑻𝑻
3
Calculate the total capacity of the surface mud system in bbl.
𝟕𝟕 × 𝟗𝟗 × 𝟑𝟑𝟑𝟑
= 𝟑𝟑 ×
= 𝟏𝟏𝟏𝟏𝟏𝟏𝟏𝟏. 𝟕𝟕𝟕𝟕 𝒃𝒃𝒃𝒃𝒃𝒃
𝟓𝟓. 𝟔𝟔𝟔𝟔𝟔𝟔
Calculate total mud volume in the three tanks in bbls.
questions 2 to 9, do calculation by hand using equations from the lectures.
𝟕𝟕𝟕𝟕
×𝟕𝟕×𝟑𝟑𝟑𝟑
𝟔𝟔𝟔𝟔
×𝟕𝟕×𝟑𝟑𝟑𝟑
𝑽𝑽𝒎𝒎𝒎𝒎𝒎𝒎 = 𝟐𝟐 �𝟏𝟏𝟏𝟏𝟓𝟓.𝟔𝟔𝟔𝟔𝟔𝟔 � + �𝟏𝟏𝟏𝟏𝟓𝟓.𝟔𝟔𝟔𝟔𝟔𝟔 � = 𝟕𝟕𝟕𝟕𝟕𝟕. 𝟗𝟗𝟗𝟗 𝒃𝒃𝒃𝒃𝒃𝒃
4
Calculate the capacity in bbl/ft for each well section.
(𝟏𝟏𝟏𝟏. 𝟒𝟒𝟐𝟐𝟖𝟖)𝟐𝟐
𝒃𝒃𝒃𝒃𝒃𝒃
𝑽𝑽𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺(𝟏𝟏) =
= 𝟎𝟎. 𝟏𝟏𝟏𝟏
𝟏𝟏𝟏𝟏𝟏𝟏𝟏𝟏. 𝟒𝟒
𝒇𝒇𝒇𝒇
(𝟖𝟖. 𝟔𝟔𝟔𝟔𝟔𝟔𝟔𝟔)𝟐𝟐
𝒃𝒃𝒃𝒃𝒃𝒃
𝑽𝑽𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺(𝟐𝟐) =
= 𝟎𝟎. 𝟎𝟎𝟎𝟎𝟎𝟎𝟎𝟎
𝟏𝟏𝟏𝟏𝟏𝟏𝟏𝟏. 𝟒𝟒
𝒇𝒇𝒇𝒇
(𝟔𝟔)𝟐𝟐
𝒃𝒃𝒃𝒃𝒃𝒃
𝑽𝑽𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺𝑺(𝟑𝟑) =
= 𝟎𝟎. 𝟎𝟎𝟎𝟎𝟎𝟎𝟎𝟎
𝟏𝟏𝟏𝟏𝟏𝟏𝟏𝟏. 𝟒𝟒
𝒇𝒇𝒇𝒇
5
Calculate total hole volume with the entire drill string out of the hole.
�𝟖𝟖. 𝟔𝟔𝟔𝟔𝟔𝟔𝟔𝟔𝟐𝟐 × (𝟖𝟖𝟖𝟖𝟖𝟖𝟖𝟖)� + �𝟔𝟔𝟐𝟐 × (𝟏𝟏𝟏𝟏𝟏𝟏𝟏𝟏𝟏𝟏 − 𝟖𝟖𝟖𝟖𝟖𝟖𝟖𝟖)� + (𝟓𝟓. 𝟓𝟓𝟐𝟐 × (𝟏𝟏𝟏𝟏𝟏𝟏𝟏𝟏𝟏𝟏 − 𝟏𝟏𝟏𝟏𝟏𝟏𝟏𝟏𝟏𝟏))
𝑽𝑽𝒉𝒉𝒉𝒉𝒉𝒉𝒉𝒉 =
= 𝟖𝟖𝟖𝟖𝟖𝟖. 𝟑𝟑𝟑𝟑 𝒃𝒃𝒃𝒃𝒃𝒃
𝟏𝟏𝟏𝟏𝟏𝟏𝟏𝟏. 𝟒𝟒
6
Calculate the displacement of the "5 drill pipe.
𝟓𝟓𝟐𝟐 − 𝟒𝟒. 𝟐𝟐𝟐𝟐𝟐𝟐𝟐𝟐
𝒃𝒃𝒃𝒃𝒃𝒃
𝑽𝑽𝒅𝒅𝒅𝒅𝒅𝒅𝒅𝒅 =
× 𝟖𝟖𝟖𝟖𝟖𝟖𝟖𝟖 = 𝟎𝟎. 𝟎𝟎𝟎𝟎𝟎𝟎𝟎𝟎𝟎𝟎
𝟏𝟏𝟏𝟏𝟏𝟏𝟏𝟏. 𝟒𝟒
𝒇𝒇𝒇𝒇
7
Calculate the displacement of the complete drill string.
𝑽𝑽𝒅𝒅𝒅𝒅𝒅𝒅𝒅𝒅𝒅𝒅−𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔 =
[𝟐𝟐𝟐𝟐 − (𝟒𝟒. 𝟐𝟐𝟐𝟐𝟐𝟐)𝟐𝟐 ]𝟖𝟖𝟖𝟖𝟖𝟖𝟖𝟖 + [(𝟒𝟒. 𝟐𝟐𝟐𝟐𝟐𝟐)𝟐𝟐 − (𝟑𝟑. 𝟓𝟓)𝟐𝟐 ](𝟏𝟏𝟏𝟏𝟏𝟏𝟏𝟏𝟏𝟏 − 𝟖𝟖𝟖𝟖𝟖𝟖𝟖𝟖) + [(𝟒𝟒. 𝟕𝟕𝟕𝟕)𝟐𝟐 − (𝟐𝟐. 𝟐𝟐𝟐𝟐)𝟐𝟐 ](𝟏𝟏𝟏𝟏𝟏𝟏𝟏𝟏𝟏𝟏 − 𝟏𝟏𝟏𝟏𝟏𝟏𝟏𝟏𝟏𝟏)
= 𝟏𝟏𝟏𝟏𝟏𝟏 𝒃𝒃𝒃𝒃𝒃𝒃
𝟏𝟏𝟏𝟏𝟏𝟏𝟏𝟏. 𝟒𝟒
8
Calculate the total hole volume with the bit on the bottom.
𝑽𝑽𝑻𝑻𝑻𝑻𝑻𝑻𝑻𝑻𝑻𝑻 = 𝑽𝑽𝒉𝒉𝒉𝒉𝒉𝒉𝒉𝒉 − 𝑽𝑽𝒅𝒅𝒅𝒅𝒅𝒅𝒅𝒅𝒅𝒅−𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔𝒔 = 𝟖𝟖𝟖𝟖𝟖𝟖. 𝟑𝟑𝟑𝟑 − 𝟏𝟏𝟏𝟏𝟏𝟏 = 𝟕𝟕𝟕𝟕𝟕𝟕. 𝟑𝟑𝟑𝟑 𝒃𝒃𝒃𝒃𝒃𝒃
9
Calculate the hydrostatic pressure at bottom of hole.
𝑷𝑷𝟏𝟏 = 𝟎𝟎. 𝟎𝟎𝟎𝟎𝟎𝟎 × ρ × 𝑻𝑻𝑻𝑻𝑻𝑻 = 𝟎𝟎. 𝟎𝟎𝟎𝟎𝟎𝟎 × 𝟏𝟏𝟏𝟏 × 𝟏𝟏𝟏𝟏𝟏𝟏𝟏𝟏𝟏𝟏 = 𝟗𝟗𝟗𝟗𝟗𝟗𝟗𝟗. 𝟖𝟖 𝒑𝒑𝒑𝒑𝒑𝒑
10 Calculate the pressure at the bottom of each well.
10 Calculate the pressure at the bottom of each well.
4258.8 psi
4212 psi
11 Given the following well design:
735.243
psi
a)Calculate total hole volume with the entire drill string in the hole.
𝑽𝑽𝒉𝒉𝒉𝒉𝒉𝒉𝒉𝒉 =
(𝟏𝟏𝟏𝟏. 𝟑𝟑𝟑𝟑𝟑𝟑)𝟐𝟐
(𝟕𝟕)𝟐𝟐
(𝟒𝟒. 𝟓𝟓)𝟐𝟐 − (𝟑𝟑. 𝟓𝟓)𝟐𝟐
(𝟕𝟕𝟕𝟕𝟕𝟕𝟕𝟕 − 𝟒𝟒𝟒𝟒𝟒𝟒𝟒𝟒) − (𝟕𝟕𝟕𝟕𝟕𝟕𝟕𝟕) �
· 𝟒𝟒𝟒𝟒𝟒𝟒𝟒𝟒 +
� = 𝟖𝟖𝟖𝟖𝟖𝟖. 𝟎𝟎𝟎𝟎 𝒃𝒃𝒃𝒃𝒃𝒃
𝟏𝟏𝟏𝟏𝟏𝟏𝟏𝟏. 𝟒𝟒
𝟏𝟏𝟏𝟏𝟏𝟏𝟏𝟏. 𝟒𝟒
𝟏𝟏𝟏𝟏𝟏𝟏𝟏𝟏. 𝟒𝟒
𝑽𝑽𝒉𝒉𝒉𝒉𝒉𝒉𝒉𝒉 =
(𝟏𝟏𝟏𝟏. 𝟑𝟑𝟑𝟑𝟑𝟑)𝟐𝟐
(𝟕𝟕)𝟐𝟐
(𝟕𝟕𝟕𝟕𝟕𝟕𝟕𝟕 − 𝟒𝟒𝟒𝟒𝟒𝟒𝟒𝟒) = 𝟖𝟖𝟖𝟖𝟖𝟖. 𝟒𝟒𝟒𝟒𝟒𝟒𝟒𝟒𝟒𝟒
· 𝟒𝟒𝟐𝟐𝟐𝟐𝟐𝟐 +
𝟏𝟏𝟏𝟏𝟏𝟏𝟏𝟏. 𝟒𝟒
𝟏𝟏𝟏𝟏𝟏𝟏𝟏𝟏. 𝟒𝟒
b)Calculate total hole volume with the entire drill string out of the hole.
CSG Specification: (13 3/8" CSG (12.5" ID) and 7" Liner (6" ID))
Drill Pipe Specification: (4.5" DP (3.5" ID))
12 Calculate the equivalent density at 7000' depth of the following mixed fluid column.
1200ft
2800ft
𝑻𝑻𝑻𝑻𝑻𝑻 𝒉𝒉𝒉𝒉𝒉𝒉𝒉𝒉𝒉𝒉𝒉𝒉𝒉𝒉𝒉𝒉𝒉𝒉𝒉𝒉𝒉𝒉 𝒑𝒑𝒑𝒑𝒑𝒑𝒑𝒑𝒑𝒑𝒑𝒑𝒑𝒑𝒑𝒑 𝒂𝒂𝒂𝒂 𝒕𝒕𝒕𝒕𝒕𝒕 𝒃𝒃𝒃𝒃𝒃𝒃𝒃𝒃𝒃𝒃𝒃𝒃 𝒊𝒊𝒊𝒊 ∶ −
𝑷𝑷𝒄𝒄 = 𝟎𝟎. 𝟎𝟎𝟎𝟎𝟎𝟎�(𝟏𝟏𝟏𝟏𝟏𝟏𝟏𝟏 × 𝟗𝟗) + (𝟐𝟐𝟐𝟐𝟐𝟐𝟐𝟐 × 𝟏𝟏𝟏𝟏) + (𝟑𝟑𝟑𝟑𝟑𝟑𝟑𝟑 × 𝟏𝟏𝟏𝟏)�
= 𝟑𝟑𝟑𝟑𝟑𝟑𝟑𝟑. 𝟔𝟔 𝒑𝒑𝒑𝒑𝒑𝒑
𝑺𝑺𝑺𝑺 𝒕𝒕𝒕𝒕𝒕𝒕 𝒆𝒆𝒆𝒆𝒆𝒆𝒆𝒆𝒆𝒆𝒆𝒆𝒆𝒆𝒆𝒆𝒆𝒆𝒆𝒆 𝒅𝒅𝒅𝒅𝒅𝒅𝒅𝒅𝒅𝒅𝒅𝒅𝒅𝒅 ∶ −
ρ=
4500ft
𝑷𝑷𝑪𝑪
𝟑𝟑𝟑𝟑𝟑𝟑𝟑𝟑. 𝟔𝟔
=
= 𝟏𝟏𝟏𝟏. 𝟐𝟐𝟐𝟐𝟐𝟐 𝒑𝒑𝒑𝒑𝒑𝒑
𝟎𝟎. 𝟎𝟎𝟎𝟎𝟎𝟎 × 𝑻𝑻𝑻𝑻𝑻𝑻 𝟎𝟎. 𝟎𝟎𝟎𝟎𝟎𝟎 × 𝟕𝟕𝟕𝟕𝟕𝟕𝟕𝟕