List of Symbols Used in Equations

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Last updated 23 September 2018, 14:42

List of Symbols Used in Equations
Symbol	Definition	Unit	EQ #
A	thermal expansion factor	lb/gal/100°F	3
B	hydrostatic compression factor	lb/gal/1000 psi	4
BHP_s	safe bottomhole pressure	psi or lb/in²	1, 4
BHT	bottomhole temperature	°F	3
C	capacity	bbl/ft	25, 29
C	capacity of hole or pipe	bbl/ft	26
C_an	capacity of annulus	bbl/ft	16, 17, 28
C_an	capacity of annular space per linear foot	bbl/ft	27
C_an+t	combined annular + tubing capacity	bbl/ft	6
CF	correction factor	(lb/gal)/°F	10
CP	averaged pressure correction	lb/gal	4, 5
CT	averaged temperature correction	lb/gal	3, 5
Ct	capacity of tubing	bbl/ft	16, 17, 18, 21
d	density of fluid in well	lb/gal	19, 20
d₁	density of starting fluid	lb/gal	7
d₁	density of fluid 1	lb/gal	9, 11, 14, 15
d₂	density of added fluid	lb/gal	7
d₂	density of fluid 2	lb/gal	9, 11
d_c	density corrected for T and P	lb/gal	5
d_c	fluid density, corrected to 60°F	lb/gal	10
d_dil	final desired density	lb/gal	15
d_dil	density of diluted fluid	lb/gal	12
d_f	density of final target fluid	lb/gal	7
d_f	density of final fluid	lb/gal	9, 11, 14
d_n	density of fluid n in annulus	lb/gal	30
d_slug	density of slug fluid	lb/gal	20
d_u	fluid density, uncorrected for T and P	lb/gal	2
d_u	uncorrected density from Equation 2	lb/gal	5
d_w	density of fresh water	lb/gal	10
grad	pressure gradient	psi/ft	2
grad_s	safe pressure gradient	psi/ft	1
h	total length of tubing	ft	18
h	length of hole or pipe	ft	26
h	length of annulus	ft	28
h_bal	length of pill planned	ft	16, 17, 18
h_dry	length of dry pipe	ft	19
h_n	true vertical length of coverage of fluid n in annulus	ft	30
HR	hydrometer reading at sample temperature	unitless	10
h_slug	length of slug fluid required	ft	20, 21
ID	inside diameter	in	25
ID	inside (casing, liner) diameter	in	27
ID_casing	casing ID	in	6
ID_t	tubing ID	in	6
l	liter	l	22, 23
lb_product	total product added to the recipe	lb/bbl	13
lb_pure	weight of pure salt (100% basis) per barrel of original brine	lb/bbl	12
lb_pure	weight of pure salt (100%)	lb/bbl	13
lb_pure	weight of salt product per barrel required to weigh up to final fluid density	lb/bbl	14
mg	milligram	mg	22, 23
OD	outside (work string, tubing) diameter	in	27
OD_t	tubing OD	in	6
P_an	hydrostatic pressure	psi	30
pct₁	percent of dissolved salt in fluid 1	wt fraction	15
pct_dil	percent of pure salt (100% basis) in diluted brine	wt fraction	12
pct_dil	percent of dissolved salt in final fluid	wt fraction	15
pct_f	percent of pure salt (100% basis) in original brine	wt fraction	12
P_dif	pressure differential	psi	19, 20
ppm	parts per million	10^-6	22, 23, 24
p_sol	solid content	vol %	31
purity	weight percent as decimal fraction	unitless	13
Q	flow rate	bbl/min	29, 31
SG	specific gravity	unitless	22, 23
surf	surface temperature	°F	3
TVD	true vertical depth	ft	1
v₁	volume of starting fluid	bbl	7, 8
v₁	volume of fluid 1	bbl	9, 11
v₁	volume (as a fraction of a barrel) of fluid 1	bbl	15
v₂	volume of added fluid	bbl	7, 8
v₂	volume of fluid 2	bbl	11
v_an	total volume of annulus with pipe/tubing in well	bbl	28
v_chase	volume of chase fluid	bbl	18
Vel	velocity	ft/min	29
v_f	volume of final target fluid	bbl	8
v_f	final volume	bbl	14
v_pill	volume of balanced pill	bbl	16, 17
v_slug	volume of slug	bbl	21
v_sol	volume of solid removal rate	ft³/min	31
v_surf	volume of empty lines from pit to drill floor	bbl	18
v_tot	total volume of hole or pipe	bbl	26
wt %	weight percent	10^-2	24
ΔT	sample temperature - 60°F	°F	10
0.052	units conversion factor	gal/in²-ft	2, 19, 20, 30
0.056	units conversion factor	ft³/(bbl-%)	31
1029.4	units conversion factor	in²-ft/bbl	6, 25, 27

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List of Symbols Used in Equations

List of Symbols Used in Equations

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