Lag
The Lag
The calculation and practical application of the lag is of primary importance in mud logging and relates to the all data that the mud transmits to the surface. The mud actually carries the information that we require from the bit depth to the surface and the time that the mud takes to get from the bit to surface is the basic calculation made. The factors that affect the time or lag of the mud are the flow rate of the mud, the configuration of the well; the sizes and depths of the different hole sections and the drill string sections’ dimentions.
Lag definitions:
· Lag time is the time the mud takes to travel inside the hole between two specified depth points.
· The time taken between the surface to the bottom of the hole is called ”lag down“ or “Lag in”.
· The time taken between the bottom of the hole to the surface is called ”lag-up“ or “bottoms’up”.
· The surface to surface time is called “Complete cycle” or In/Out time. It is more practical to calculate lag in terms of pump strokes as the flow rate is not necessarily constant.
To calculate the lag the hole dimensions must be known as well as the drill string dimension. Most holes have at least two section of different diameters and towards the end of the well may will have more (riser, casing liner, and open hole). Added to this is the fact that the drill string will usually have sections of different diameters (drill pipe, heavyweight drill pipe and drill collars, etc).
Two techniques may be applied to calculating the annular volume,
These are :-
· In The first method, the lengths and the dimentions of each section of the annulus are determined, the volumes are calculated and totalized. The The lag equations are applied to determin the equivalent times and strokes.
- The second method involves calculating the volume of the hole and the
volume of the drill string (metal and internal capacity) and then subtracting the values from each other to determine the lag time and strokes for the whole well.
The first method is the one preferred because it informs the logger of the exact nature of the various annular sections and their individual volumes. This also helps in the calculations of the annular pressure drops. With the use of the off-line mudlogging units the increase with depth should be calculated for a given length of hole by calculating the annular volume of the hole (bit diameter) filled with drill pipe. This should be added to the total annular volume to update the lag calculation to the current depth. For the On - Line logging unit this is automatically calculated and added as the depth increases. The lag, as already mentioned, is most accurately counted in pump strokes. The annulus volume divided by the pump output per stroke will give the number of strokes needed to displace the mud up the annulus. It is possible to monitor the lag in time units although this practice is much less accurate and very prone to errors. The most common error is to fail to keep a record of the amount of time that the pumps are off due to connections etc. The lag will be delayed by this amount.
LAG EQUATIONS
A. Converting Barrels è Gallons:
Gallons (gal) = Barrels î 42
B. Converting Gallons è Barrels:
Barrels (bbl) = Gallons · 42
C. Calculating Pipe Volume:
Pipe. Volume (bbl)
(Pipe / Collar ID2 Length(ft)
1029
=
) ´
C. Calculating Annular Volume:
Ann. Volume (bbl)
(Hole / Casing ID2 Pipe / Collar OD2 Length(ft)
1029
=
- ) ´
D. Calculating lag-in strokes:
Lag in strokes
Annular Volume bbl
Pump Output bbl stk
- =
( )
( / )
E. Calculating lag-in minutes:
Lag in utes
Lag in strokes
PumpRate spm
- =
-
min
( )
F. Converting Meter è Ft:
Feet (Ft) = Meter î 3.281
G. Converting Cu. inch è bbl:
1 bbl = 9702 cu. inch
H. Converting gcc èppg:
ppg = gcc x 8.33
Lag Correction
Using the correct lag is vital to the geologist so that samples and hydrocarbon shows are described at the correct depth from which they came. If the open hole section is in gauge; then the actual lag will be the same as the calculated lag. This is rarely the case in practice as most of the salt sections and some shale sequences tend to become washed out. Therefore carbide lag checks should be run frequently to determine the actual lag. The procedure for carbide lag is to wrap a quantity of fine carbide in paper towel and place it inside the pipe at a connection. The action of water on the carbide will release acetylene gas which on circulating out of the system will be detected by the gas detector. Since the gas has to travel down the pipe to the bit and then to the surface, it is necessary to calculate the following:
1. The number of strokes from the surface to the bit inside the pipe.
2. The total number of strokes from starting up the pump until the gas arrives at the surface.
3. Subtract 1 from 2
The resulting number of strokes is the actual lag time. From this it is possible to estimate the amount of washout in the hole. Apart from making regular carbide lag checks, a check should be made if for any reason the lag becomes suspect; for example the cuttings do not correspond with the drill rates from which they are supposed to come, or connection gas does not appear at the correct time. If for some reason , carbide is not available a perfectly good lag check can be obtained by using rice or lentil. The main disadvantage of this is that it is necessary to stay and watch the shakers when the rice is due appear, or it could well be missed. Rates of travel up the annulus differ for gas and cuttings as the cuttings will tend to slip back due to slip velocity. Slip velocity depends on the cuttings size density the mud properties flow rate and hole size.
Lag calculation example:
GIVEN:
Pump information
pump output = 0.123 bbls/stroke
pump rate = 75 spm
Drill string information
Drillpipe : 5” OD 4.276” ID length 8075’
Heavy-weight Drillpipe: 5” OD 3.000” ID Length 275’
Drill collars: 8” OD 2.813” ID Length 650
Hole information
Casing : 13 3/8” OD 12.415” ID Length 3500
Open hole : 12.25” OD
TD : 900’
CALCULATE:
a. Calculate the volume of mud in the Drillpipe, Heavy-weight and collars.
b. Calculate the annular volume for each annular section.
c. Add the section annular volumes to give the total annular volume.
d. Calculate the lag in minutes.
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