Specific embodiment
As shown in Fig. 2 this rod-pumped well hydrodynamic face method for continuous measuring it is characterised in that: it comprises the following steps:
(1) dynamicss of analysis sucker rod and the model of vibration setting up rod string, sets up description rod string fortune
Dynamic one-dimensional partial differential equation of second order;
(2) to iterate to calculate damped coefficient with surface dynamometer card;
(3) asking for acceleration is polished rod load value at zero;
(4) solve well fluid level h;
(5) reject incidental error, optimize result of calculation;
(6) carry out well fluid level data scaling.
Realizing well fluid level, calculating, is optimized the present invention to result simultaneously in real time, reduces measurement error, outer having
In the case of boundary's data, demarcated by extraneous dynamic fluid level data, improved well fluid level certainty of measurement further.
In addition, one-dimensional partial differential equation of second order is formula (1-3) in described step (1)
WhereinFor the damped coefficient to sucker rod for the liquid in well, unit is s-1;
For spread speed in sucker rod for the stress wave, unit is m/s.
In addition, sucker rod emulation vibration maths model comprises in described step (1): wave equation, boundary condition, initial strip
Part and the condition of continuity.
In addition, the specific formula for calculation of damped coefficient is formula (1-16) in described step (2):
WhereinObtained divided by the length of stroke of polished rod according to the area integral of the upper and lower stroke of polished rod indicator card respectively
Arrive;Obtained divided by pump stroke according to the area integral of the upper and lower stroke of pump dynagraoph respectively, α is Pumping Unit coefficient, t
For the cycle;
The condition of convergence of formula (1-16) is:
Wherein ε is allowable error;
In addition, described step (3) inclusion is following step by step:
(3.1) the abscissa meansigma methodss of the arbitrary discrete point of pump dynagraoph are sought using 5 points of averaging method
(3.2) by the maximum of transverse and longitudinal coordinate and the minima of discrete point on displacement data:
xmax,ymax;
(3.3) pump dynagraoph displacement is normalized;
(3.4) slope value k of each discrete point on pump dynagraoph is calculated according to formula (1-20)i
(3.5) meansigma methodss of Curvature varying amount are sought using five-spot
(3.6) ask for k in up-down stroke respectivelyiThe value of corresponding i at=0, if ki> 0, ki+1< 0 or ki+1> 0, ki
< 0
ThenSolve fdAnd fu.
In addition, described step (4) inclusion is following step by step:
(4.1) solve fluid column load w in the full ram area of dynamic oil level in oil welll
wl=fu-fd-(pt-pc)×ap(1-21)
Wherein ptFor wellhead back pressure, pa;pcFor casing pressure, pa;apFor ram area, m2;
(4.3) solve hydrodynamic face h
In addition, described step (5) inclusion is following step by step:
(5.1) meansigma methodss of nearest five calculating hydrodynamic face h are solved
(5.4) reject the point that result of calculation is more than 20% with meansigma methodss relative error
(5.5) surplus value is asked for average and as currently move fluid level data h, if total data relative error is all higher than
20%, then calculate unsuccessfully, the current production status of oil well are unstable, wait 5 full stroke after after calculated again;
For the time point hydrodynamic face h calculating failurei, carry out supplement calculation according to formula (1-25),
In addition, the demarcation that in described step (6), hydrodynamic face calculates measures well fluid level data h using combining realityiEnter
Rower is fixed
hbi=μ hi(1 26)
As shown in figure 1, additionally providing a kind of rod-pumped well hydrodynamic face continuous measuring device, comprising: work(figure collecting unit,
Pressure acquisition unit, data processing unit;Work(figure collecting unit comprises load transducer and angular displacement sensor;Pressure acquisition list
Unit comprises back pressure measurement sensor and casing pressure measurement sensor.
First pass through each stroke current load of sensor acquisition oil well, angular displacement data and corresponding back pressure and set
Pressure.Load data and displacement data are formed the polished rod indicator card of oil well.
The present invention described further below.
The embodiment of the present invention provides a kind of continuous survey calculation flow process in rod-pumped well hydrodynamic face to include:
[1] dynamicss of analysis sucker rod and the model of vibration setting up rod string, sets up description rod string fortune
Dynamic one-dimensional partial differential equation of second order, i.e. wave equation, and further solving wave equations,
In formulaFor the damped coefficient to sucker rod for the liquid in well, s-1;For stress wave in oil pumping
Spread speed in bar, m/s.
Sucker rod emulation vibration maths model comprises following four aspect: wave equation, boundary condition, initial condition and company
Continuous property condition.
(1) boundary condition
Determine boundary condition according to pumping unit hanging point laws of motion, can be asked by the geometry motion characteristic of oil pumper
Go out.
u(x,t)|X=0=u (t) (1-4)
(2) initial condition
If initial time, oil pump piston is located at bottom dead centre, prepares to start to move upwards from bottom dead centre, and actual measurement ground shows work(
Load on figure and displacement are initial condition.
In formula, u (t) is the displacement of actual measurement surface dynamometer card;D (t) is the load of actual measurement surface dynamometer card;wrFor sucker rod
Gravity in well liquid for the post.
(3) condition of continuity
The multistage sucker rod forming for different-diameter, different materials, the load of two-stage roofbolt intersection and displacement are continuous
Property condition is:
Vibration of sucker-rod string simulation mathematical model is drawn by formula (1-3), (1-4), (1-5), (1-6):
5. determine whether afterbody sucker rod, if it is, calculated displacement load relation is pump dynagraoph, calculate
Terminate;Otherwise, then the principle of continuity according to power, to calculate second level roofbolt end u2(xi, t) and f2(xi, calculate t) and successively
Until the end of afterbody bar, you can obtain corresponding pump dynamometers.
To solve the mathematical model wave equation of vibration of sucker-rod string using the method for fourier series:
If dynamic load function is d (t), polished rod displacement function u (t), as boundary condition, d (t) and u (t) is distinguished
It is launched into fourier series:
Wherein n represents fourier series item number;σo,γo,σn,τn,vn,δn(n=1,2, n) represent Fourier leaf system
Number, w is crank angular velocity.
The Fu Shi coefficient of sucker rod dynamic load and change in displacement is obtained by the d (t) surveying and u (t) curve numerical integration:
N=0 in formula, 1,2 ..., n, d (p) and u (p) are respectively the load of discrete point and the displacement of indicator card.
With (1-7) as boundary condition, with separation of variable solving equation (1-8), any of rod string can be obtained
The displacement of depth change over time:
Can be obtained according to Hooke's law:
Then dynamic load change over time can be obtained according to formula (1-12) to turn to:
Full payload f (x, t) in t, x section is the weight plus the following rod string of x section.
In formula (1-12) (1-13):
Wherein αn,βn,kn,μn,an,bn,cn,dnIt is special constant:
[2] pass through tentative calculation, have selected the method to iterate to calculate damped coefficient with surface dynamometer card.
The specific formula for calculation of its damped coefficient is:
In formula,Can respectively the area integral according to the upper and lower stroke of polished rod indicator card divided by the length of stroke of polished rod
Obtain;Can be obtained divided by pump stroke according to the area integral of the upper and lower stroke of pump dynagraoph respectively, α is Pumping Unit system
Number, t is the cycle.
Solve during damped coefficient it is necessary to first know pump dynamometers with formula (1-16), but if it is known that pump dynamometers, must
First damped coefficient must be known, so using after initialization, to solve using iterative method.
The condition of convergence of formula (1-16) is:
In formula, ε is allowable error;
[3] asking for acceleration is polished rod load value at zero.
(1) the abscissa meansigma methodss of the arbitrary discrete point of pump dynagraoph are sought using 5 points of averaging method;
(2) pass through the maximum of transverse and longitudinal coordinate of discrete point and minima: x on displacement datamax,ymax;
(3) pump dynagraoph displacement is normalized;
(4) slope value k of each discrete point on pump dynagraoph is calculated according to formula (1-20)i;
(5) meansigma methodss of Curvature varying amount are sought using five-spotTo improve algorithm
Accuracy.
(6) ask for k in up-down stroke respectivelyiThe value of corresponding i at=0, if ki> 0, ki+1< 0 or ki+1> 0, ki< 0
ThenSolve fdAnd fu.
[4] solve well fluid level h.
(1) solve fluid column load w in the full ram area of dynamic oil level in oil welll
wl=fu-fd-(pt-pc)×ap(1 21)
Wherein ptFor wellhead back pressure, pa;pcFor casing pressure, pa;apFor ram area, m2;
(2) solve hydrodynamic face h.
[5] reject incidental error, optimize result of calculation.
(1) meansigma methodss of nearest five calculating hydrodynamic face h are solved
(2) reject the point that result of calculation is more than 20% with meansigma methodss relative error.
(3) surplus value is asked for average and as currently move fluid level data h, if total data relative error is all higher than 20%,
Then calculate unsuccessfully, the current production status of oil well are unstable, wait 5 full stroke after after calculated again.
For the time point hydrodynamic face h calculating failurei, carry out supplement calculation according to formula (1-25),
[6] well fluid level data scaling;
The demarcation that hydrodynamic face calculates measures well fluid level data h using combining realityiDemarcated.
hbi=μ hi(1 26)
The above, be only presently preferred embodiments of the present invention, and not the present invention is made with any pro forma restriction.This area
Those of ordinary skill it should be understood that every technical spirit according to the present invention any simply repairing that above example is made
Change, equivalent variations and modification, all still belong to the protection domain of technical solution of the present invention.