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Technical approach to keeping of preset differential pressure on the formation
in the course of well foam washing was developed on the basis of field hydrodynamic
research
Theoretic models are known to be unable of simulating all variety of physical
and chemical factors influencing the behavior of the required process characteristics.
Thus, experimental studies [1] of hydrostatic pressure of foams and air-water
mixtures were carried out in comparison with their theoretical analogues. The
tests showed that with pressure growth, i.e. as approaching the bottomhole, experimental
foam points deviate from the design ones towards increase. Air-water mixtures
deviate 1.5-2 times more than foams. It is obvious that in dynamics the effect
of deviations towards underrating of the design bottomhole pressure as compared
to its actual values becomes more evident.
The authors relate this fact to bubbles channeling. In the conditions of rising
current it increases the actual density as compared to the calculated one.
This article suggests using foam as an elastic medium, producing pressure inversion
when released in the driven up rising current.
This explains the lower response of wellhead pressure as well depth increases. Since
the theory of the pressure inversion effect is not described, it is necessary
to specify theoretical model for particular conditions of North Stavropol UGSF
by using adaptation method, i.e. by matching the design and field data and by
trend analysis.
The adapted model is aimed at specifying the gross coefficient of circulation
pressure loss
and dependence
along the ring channel from wellhead to bottomhole.
Regression equations:
Since the mechanism under review can not be correctly described for the time
being, the reference mathematical model is specified by a statistically distributed
method of regression equation.
The adaptive coefficient l is introduced in order to correct the pressure losses and the linear regressive
dependence is found:
Coefficients À, Â, Ñ are found based of measurement data.
After is introduced into the reference model, the pressure data calculated at
the bottomhole Ðê, slightly diverge from the measurements, shown in Table 1 as inviscid "r".
Overall losses coefficients in the mode options are calculated from the actual measurement data (Table 1) and linear dependence is drafted:
i - number of the mode.
Numerical values of regression equation coefficients are specified in Table 1.
Calculations of depth pressure distribution were made in the modes (1-6) in the
course of foam flow in comparison with pressure distribution in static condition
(Figures 1-2).
The behavior of local losses coefficient DÐ(h) is represented in dimensionless form in Figure 3.
Taking into account comparatively small scattering of the curves , we can find
the dependence of the relative average coefficient of losses from the ring channel
depth section:
The functions are defined in the same way and compared in various modes; they
are shown in Figure 4. By averaging out the obtained functions from dimensionless
depth , we can find regressive equations for them. Generalized changes of the
relative loss and pressure coefficients along the ring channel are represented
in Figure 5.
Calculation of differential pressure for North Stavropol UGSF with limiting formation
pressures during the operation (at the end of recovery and pumping)
In order to provide depression in the well-formation system during the removal
of argillo-arenaceous plugs with the help of hydrodynamic model adapted for these
conditions, the boundary practices for extreme operational conditions were developed:
the lowest formation pressure at the end of the recovery practice and the highest
formation pressure at the end of pumping.
The calculations were made for the UGSF of the banks of Khadum and green measures.
The objective was to define the delivery of fluid and gas in the rising current
of the ring channel meeting the requirements of bottomhole cleaning and providing
the admissible bottomhole depression.
The admissible bottomhole depression corresponds to the preset limit of formation
gas flow rate. The blanket gas recovery rate is limited in such a way, so that
during its partial replacement with foam a low efficiency compressor allowing
the influx from the formation of no more than 1,000 m3 per day could be used.
The objective was achieved by selecting flow rate conditions and implementing
all limiting factors. It required numerous runs of foam wash simulation model
with the conditions habitual for argillo-arenaceous plugs removal.
Consider the results of the calculations for North Stavropol UGSF. The calculation
of the necessary rising speed of the bottomhole current for destroying and removing
the argillo-arenaceous plugs produced the value: V = 0,23 m/ñ.
Variant I. Green measures banks. End of the recovery practice
The depth of the well is 900 m; the limiting formation pressure Ðf = 5.6 MPa; the delivery of the pumped foam producing liquid Qïë = 0,0016 m3/s; gas delivery Qã = 0,074 m3/s; degree of aeration a = 46,25; bottomhole balance, Ðç = 5.6 MPa; bottomhole flow velocity Vç = 0.22 m/s.
The substituting foam is produced by the same amount of the pumped liquid Qïë = 0,0016m3/s and inflow of formation gas Qã = 0,09 m3/s, or equal to flow rate qã = 7.77 thousand m3/d
With the wellhead pressure being Ðw = 0,17 MPa, the bottomhole receives Ðb = 5.47 MPa. The possibility of receiving 7.77 thousand m3/d with the depression of DÐ = 5,6-5,47 = 0,13 MPa depends on formation productivity .
With the destruction of the sand plug, Êïðîä progresses and qã , Ðç R Ðïë principle remains, the wellhead pressure should be increased up to 0.3 MPa to
keep the required inflow level qã necessary for cleaning the bottomhole.
Thus, with the limiting formation pressure of 5.6 MPa and pumped liquid Qæ = 0,0016m3/s, the gas delivery necessary for cleaning the green measures well should be
equal to the well flow rate qã = 7.77 thousand m3/d and the wellhead pressure should be kept at the level:
With the formation gas flow rate being within the limits of no more than 1 thousand
m3/d, a compressor with the output of 5 m3/min is required.
Variant II. Green measures banks. End of pumping operation.
Unlike in the previous variant, the limiting formation pressure was Ðïë = 9.1 MPa. The condition of balance with Qæ = 0.0016 m3/s is achieved, when Qã = 0.0107 m3/s and bottomhole velocity Vç = 0,12 m/s. Vç < Vóí , that is why the substituting foam is defined with Qã = 0.09 m3/s as well as in the previous case, which corresponds to well flow rate of qã = 7.77 thousand m3/d, Qæ = 0.002 m3/s, Vç = 0.23, Ðç = 8.56, Ðó = 1 MPa. As the formation productivity increases and the sand plug being destroyed,
the pressure on the wellhead should be increased from 1 MPa to 1.2 MPa:
Like in the previous case, a compressor with the output of 5 m3/min is required.
Variant III. The banks of Khadum horizon. End of pumping operation.
The depth of the well is 800 m, limiting formation pressure is 3.3 MPa. The balance
on the bottomhole is achieved at Qæ = 0.001 m3/s, Ðó = 0.1 MPa, Qã = 0.077 m3/s, Vç = 0,26 m/s, Ðç = 3,3 MPa.
Substitution of the initial foam with the flow of formation gas and creation
of depression is achieved by decreasing the delivery of foam producing liquid:
Qæ = 0.0008m3/s, Ðó = 0.1 MPa, Qã = 0.077 m3/s, Vç = 0.27 m/s, Ðç = 2.81 MPa.
With formation productivity being increased by cleaned bottomhole and lowered
depression Ðç R Ðïë , the critical increase in the wellhead pressure will be Ðó = 0.26 MPa.
As a result, the well flow rate of 6,650 m3/d is possible, when the wellhead pressure is kept within the limits:
With a formation inflow of up to 1,000 m3/d a compressor with output of 4 m3/min is required.
Variant IV. The banks of Khadum horizon. End of recovery operation. The depth
of the well is 800 m, the limiting formation pressure is 2.3 MPa.
The balance on the bottomhole is reached when Qæ = 0.00054 m3/s,
Qã = 0.07 m3/s, Vç = 0.28 m/s, Ðç = 2.3 MPa, Ðó = 0.1 MPa.
Substitution of the initial foam with the formation gas inflow on the depression
is done by means of increasing gas flow:
Qã = 0.09 m3/s, Qæ = 0.00054 m3/s, Ðó = 0.1 MPa, Vç = 0.38 m/s, Ðç = 2.1 MPa.
Then, as the formation productivity increases, the critical rise of the wellhead
pressure is defined as: Ðó = 0.175 MPa.
In the suggested variant the well flow rate of 7,770 m3/d required to clean the bottomhole is possible with wellhead pressure being
kept within the limits of
With the formation gas inflow limited to 1,000 m3/d, a compressor with the output of 5 m3/min is required.
Table 2 shows the optimum technological parameters for underbalanced foam washing
of the argillo-arenaceous plugs of the wells of North Stavropol UGSF.
![]() Table 3 shows the results of washing the sand plugs following the recommended
technology.
Conclusions
REFERENCES
1. Tagirov, K. M. Opening of Productive Oil and Gas Formations with Abnormal
Pressure / K. M. Tgirov, A. N. Gnoyevykh, A. N. Lobkin - M. : Nedra, 1996.
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