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根据地层油气水实际情况进行油气水高压物性参数(PVT)计算、基于闪蒸的流体相态计算、井底压力计算、井筒压力及温度计算、产能试井及产能预测等。

流体高压物性参数计算:对国内外流体高压物性参数计算进行总结,可计算油气水粘度、压缩系数、体积系数及密度等;气体提供多种非烃类气体修正方法;油相提供饱和及非饱和物性计算;两相提供张力计算等。

提供井筒气液两相流态计算:针对气液两相流体,提供考虑各种井口到井底的压力折算方法(单相液体、单相气体、气液均匀流动、Hagedorn-Brown、Harsan-Kabir、Begges-Brill、Dons-Ros、Orkiszewski、Aziz、Mukherjee-Brill),同时提供不同深度下压力变化等计算模块。

Hagedorn-Brown法:Hagedorn-Brown (1965)针对垂直井中油气水三相流动,基于单相流体和机械能守恒定律,建立了压力梯度模型;并在装有1、11/4、11/2英寸油管的457m深的试验井中,以10、30、35和110mPa.s的油、天然气和水混合物进行了大量的现场试验,通过反算持液率,提出了用于各种流型下的两相垂直上升管流压降关系式。

Harsan-Kabir法:通过对铅直圆管中气液两相流动型态转变的机理性分析,得出了每一种流动型态的判别准则,提出了流动型态的判别方法,进而给出了各种流动型态下压力梯度的计算方法。

Beggs-Brill法:Beggs-Brill(1973年)根据均相流动能守恒方程式得出了压力梯度方程,并在直径1"、11/2"长13.7m的倾斜透明管中用水和空气进行了大量的实验,得出了不同倾斜管道中气液两相流动的持液率和阻力系数的相关规律。

Duns_Ros法:主要通过流型的判断进行气液两相管流的计算,相关公式的主要任务是判断流型在井筒各段的分布情况。一般情况,垂直多相流可分为四种不同的流动模式,包括泡状流,段塞流,段塞流弹状过渡(搅拌流)流和弹状流。

Orkiszewski法:Orkiszewski(1967年)采用148口油井实测数据,对比分析了多个气液两相流模型。然后分不同流型择其优者,综合他的研究成果得出四种流型的压降计算方法。

Aziz法:按照提出的流动型态分布图确定流动型态,然后再计算持液率和压降。

Mukerjee-Brill法:Mukherjee和Brill(1985)在Beggs和Brill(1973)研究工作的基础上,改进了实验条件,对倾斜管两相流的流型进行了深入研究,提出了更为适用的倾斜管(包括水平管)两相流的流型判别准则和应用方便的持液率及摩阻系数经验公式。

油气井从产能预测及节点分析:根据油气井渗流方程,提供不同时间下油气水动态IPR曲线,提供给定井底压力下油气井产量随时间变化,提供定流量下井底压力随时间,提供地层渗透率、表皮及气体组份等对压力及流量的敏感参数分析。

提供井筒压力及温度计算:根据井筒管流,同时考虑地层热传导及井筒热对流计算井筒压力及温度的变化;可考虑垂直井、水平井多种流态。

提供油气井梯度折算、产能试井功能:根据油气井不同类型的产能试井(常规、等时及修正等时试井等)预测产能曲线;根据井筒测试的压力及温度梯度数据,进行井筒压力及温度梯度折算。

多组份混合相态计算:对凝析气井及含气混合液,采用RK、SRK、PR及PT等状态方程,依据相平衡理论,计算多组分混合物的相态图,同时计算混合物的泡点及露点压力等。

图1 渗透率对井底压力的影响

图2 10条裂缝不同半长对产能影响

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According to the actual situation of formation oil and gas water, the high pressure physical parameters of oil, gas and water (PVT) calculation, the fluid phase state calculation based on flashing, bottom hole pressure calculation, wellbore pressure and temperature calculation, productivity well testing and prediction, etc. are proceed.

Calculation of fluid high pressure physical parameters: The calculation of high pressure physical property parameters of fluid domestic and abroad is summarized, which can be used to calculate oil, gas and water viscosity, compression coefficient, volume coefficient and density, etc. Gas provides a variety of non-hydrocarbon gas correction methods; oil phase provides saturated and unsaturated physical properties calculation; two phases provide tension calculation, etc.

This paper provides the calculation of gas-liquid two-phase flow pattern in wellbore: For gas-liquid two-phase fluid, the pressure conversion methods from wellhead to bottom hole (single-phase liquid, single-phase gas, gas-liquid uniform flow, Hagedorn-Brown, Harsan-Kabir, Begges-Brill, Dons-Ros, Orkiszewski, Aziz, Mukherjee-Brill) are provided, and the calculation modules of pressure change at different depths are provided at the same time.

The Hagedorn-Brown method: Hagedorn-Brown (1965) establishes a pressure gradient model for the three-phase flow of oil water and gas in a vertical well, based on single-phase fluid and mechanical energy conservation law; In a 457m depth test well with 1, 11/4", 11/2 "tubes, a large number of field tests have been carried out on the mixture of 10, 30, 35 and 110 mPa.s natural gas, water and oil are used, and the relation of pressure drop of the two-phase vertical rising pipe under various flow patterns is put forward by the reverse calculation of liquid-holding ratio.

Harsan-Kabir method: The method of judging each of the flow type is obtained by means of the mechanism analysis for the transition of the gas-liquid two-phase flow type in the lead straight circular pipe, and a method for judging the flow type is put forward, and the calculation method of the pressure gradient under various flow types is also given.

The Beggs-Brill method: Beggs-Brill (1973) obtained a pressure gradient equation based on the energy conservation equation of the homogeneous flow energy, and conducted a large amount of experiments with water and air in a tilted transparent tubes with diameters of 1 ", 11/2" and 13.7 m length, The relative law of liquid holdup and drag coefficient of gas-liquid two-phase flow in different inclined pipes is obtained.

Duns_Ros method: The calculation of the gas-liquid two-phase pipe flow is mainly carried out through the judgment of the flow pattern, and the main task of the related formula is to judge the distribution of the flow pattern in each section of the well bore. In general, the vertical multi-phase flow can be divided into four different flow modes, including a bubble flow, a slug flow, a slug flow elastic transition (stirring flow), and elastic flow.

Orkiszewski method: Orkiszewski (1967) used 148 wells measured data to compare the gas-liquid two-phase flow models and picked the optimal one based on different flow types. The pressure drop calculation method of four flow patterns is obtained by synthesizing his research results.

Aziz method: The flow pattern is determined according to the proposed flow pattern distribution map, and then the liquid holdup and pressure drop are calculated.

Mukherjee-Brill method: Mukherjee and Brill (1985) improve the experimental conditions on the basis of the research work of Beggs and Brill (1973). The flow pattern of two-phase flow in inclined tube is deeply studied, and a more suitable criterion for judging the flow pattern of two-phase flow in inclined tube (including horizontal tube) and the application convenience empirical formula of liquid holdup and friction coefficient are put forward.

Productivity prediction and node analysis of oil and gas wells: According to the seepage equation of oil and gas wells, the dynamic IPR curves of oil, gas and water at different times are provided, the production of oil and gas wells varies with time under given bottom hole pressure, the bottom hole pressure varies with time at constant flow rate is provided, and the sensitive parameters analysis of formation permeability, skin and gas component and so on to pressure and flow rate are provided.

The calculation of wellbore pressure and temperature is provided: According to wellbore pipe flow, both the variation of wellbore pressure and temperature can be calculated by simultaneously considering formation heat conduction and wellbore thermal convection, and various flow patterns of vertical well and horizontal well can be considered.

Provide the gradient conversion of oil and gas wells, productivity well testing function: According to different types of productivity well testing (conventional, isochronous and modified isochronous well testing, etc.) to predict productivity curves; According to wellbore test pressure and temperature gradient data, wellbore pressure and temperature gradient conversion are obtained.

Multi-component mixed phase state calculation: For condensate gas well and gas-bearing mixture, RK, SRK, PR and PT equation of state are used to calculate the phase diagram of multicomponent mixture according to the phase equilibrium theory, and the bubble point and dew point pressure of the mixture are calculated at the same time.

Figure1: Permeability influences bottom hole pressure Figure2: Influence of different half-length of 10 fractures to production