The plot of pz versus cumulative gas production is a widely accepted method for solving gas material balance under depletion drive conditions. By rearranging the material balance equation so that the total withdrawals from the reservoir are grouped onto the y axis while all the expansion terms are grouped on the x axis. The water influx can be determine using vaneverdingen hurst method. Havlena odeh all reservoir types similar to the interpretation of gas material balance, oil material balance uses plotting techniques. The material balance equation is the simplest expression of the conservation of mass in a reservoir. Multitank material balance analysis in heterogeneous oil.
To illustrate the use of the linear aquifer model in the gas mbe as expressed as an equation of straight line, i. It is written from start of production to any time t as follows. The material balance method requires pressure and production data and, thus, can be applied only after the reservoir has produced for a significant period of time. Abstract bengal basin is one of the largest basin of the world in which most of the reservoir trap is structural especially anticlinal type and strong water drive mechanism are reported in some of the gas filed. Rrreeesssererervvvoir engoir engoir engininineeeering for. By rearranging the material balance equation so that the total withdrawals from the reservoir are grouped onto the y axis while all the expansion terms are grouped on the x axis, the correct oilinplace value will generate a straight line trend on the graph. However, unlike the equation for singlephase gas expansion, the standard form of the material balance equation for oil reservoirs does not easily yield a linear relationship. The constant number of water influx of enh zone is 311 bblpsia. The straight line method of analysis imposes an additional necessary condition that a successf ul. Pdf the effect of water influx on material balance. Pdf application of general material balance on gas. Ideally, these properties are determined from laboratory studies on samples collected from the bottom of the wellbore or at the surface. Material balance is used as a method to estimate the original volume of hydrocarbons in. Havlena and odeh 1963 developed a useful graphical procedure for estimating the oilinplace volume for a solution gas drive reservoir see figure 1.
The material balance as an equation of a straight line d. Chapter eight the material balance equation mbe the material balance equation mbe has long been recognized as one of the basic tools of reservoir engineers for interpreting and predicting reservoir performance. The material balance equations considered assume tank type behaviour at any. The havlena odeh linearization technique is used to solve for unknown variables in the material balance equation equation 3. Later, havlena and odeh popularized this method and modified it to include the aquifer size r ed as an additional unknown and determinable parameter. Material balance calculations a general material balance equation that can be applied to all reservoir types was first developed by schilthuis in 1936. Material balance equation for gas condensate reservoir. A summary of the various havlena and odeh plots is also.
Then the application of havlena odeh and cole plot methods is exhibited to estimate the giip. The material balance as an equation of a straight linepart. Analisa garis lurus havlena odeh line geometry equations. Similar to the havlenaodeh plot that includes gas terms, if water influx is. Material balance is routinely used to analyze reservoir performance data and estimate ohip. The method is based on the havlena and odeh procedure. The havlena and odeh material balance equation is as follows. Application of general material balance on gas condensate reservoirs giip estimation. In this chapter, the zero dimensional material balance is derived and subsequently applied, using mainly the interpretive technique of havlena and odeh, to gain. A time function havlena and odeh mbe straight line equation. The havlenaodeh linearization technique is used to solve for unknown variables in the material balance equation equation 3.
Determination of gas in place by the material balance method. Odeh member aime the use of the straightline method of solving the material balance equation is illustrated by means of six. Pdf application of general material balance on gas condensate. The equation mathematically defines the different producing mechanisms and effectively relates the reservoir fluid and rock expansion to the subsequent fluid withdrawal. The material balance as an equationof a straight line d. Statistical material balance analysis of water drive reservoirs. Havlena and odeh grouped similar terms together to simplify the application of the relationship. The straight line method of analysis imposes an additional necessary condition that a successf ul solution of the material balance equation should meet.
Material balance of the saturated oil reservoir and under saturated oil reservoir. By rearranging the material balance equation so that the total withdrawals from the reservoir are grouped onto the y axis while all the expansion terms are grouped. The material balance as an equation of a straight line abstract d. Material balance for oil reservoirs authorstream presentation. The material balance equation was first formulated by schilthuis 14 and introduced in 1936. General material balance for gas condensate reservoir and its. Until well into the 1950s it was the only means of determining the production drive mechanism in oil and gas reservoirs, and of predicting their behaviour. Although it is a tank model equation, it can provide great insight for the practicing reservoir engineer. Use is made of the van everdingenhurst q t function values for water influx computation.
The general material balance equation relates the original oil, gas, and water in the. For a reservoir in which the expansion of the gascap gas is the predominant driving mechanism and assuming that the natural water influx is negligible w e 0, the effect of water and pore compressibilities can be considered negligible. Similar to the interpretation of gas material balance, oil material balance uses plotting techniques. The original oil in place calculation of enh zone using material balance method is 6. Material balance analysis theory fekete associates inc. Reservoir engineering for geologists part 5b material. Material balance dalam bentuk persamaan linear sejak diperkenalkan oleh schltuist, pesamaan material balance telah dianalisa oleh banyak ahli. Pdf the effect of water influx on material balance analysis. Use the havlena odeh approach to solve for the initial oil and gas. Havlena and odeh 1963 developed a useful graphical procedure for estimating the oilinplace volume for a solution gas drive reservoir see figure 6. Then the application of havlenaodeh and cole plot methods is exhibited to estimate the giip. Chapter 3 material balance applied to oil reservoirs sciencedirect. Analisa garis lurus havlena odeh np bo rp rs bg wpbw bg.
Material balance analysis is an interpretation method used to determine original fluidsinplace ofip based on production and static pressure data. Chapter 3 the general material balance equation 73 3. Material balance equation the author prefers the method of havlena and odeh. All the window tabs are displayed, from the initial data load, the display of the pvt parameters, the display of production and pressure data over time. The material balance as an equation of a straight line. In havlena odeh straight line material balance method needs the number of water influx. Request pdf a time function havlena and odeh mbe straight line equation the straight line model introduced by havlena and odeh require plotting of the underground recoverable function f. Example 4 the volumetric estimate of the gas initially in place for a drygas reservoir ranges from 1. Although favoured for its graphical interpretation, it also forces one to think in terms of reservoir conditions, a major benefit. A new mathematical approach to error analysis for the havlena and odeh material balance has been developed, which the author has not seen elsewhere in. This approach uses a twostep optimization process whose algorithm can be written as macros in spreadsheets. The material balance as an equation of a straight line part il, field cases abstract d. The general material balance equation relates the original oil, gas, and water in the reservoir to production volumes and current pressure conditions fluid properties.
Classification for gas reserves applicable in poland. Havlena and odeh replaced the material balance equation by a linear function, with a slope equal to aquifer constant and an intercept equal to stock tank oil initial in place simplified mathematics, but failed to preserve the physical meaning of material balance parameters and its iteration procedure. The advantages of material balance methods are 1 we can determine drive mechanism in. Odeh member aime the material balance equation used by reservoir engi neers is arranged algebraically, resulting in an equation of a straight line. Odeh member aime the use of the straightline method of solving the material balance equation is illustrated by means of six field cases. Material balance calculations are performed to determine the original gasinplace estimate, utilizing actual performance data. The results are then compared with that of pz plot and an 11% over. F adalah volume reservoir yaitu jumlah dari minyak, gas dan produksi air. Natural water influx an overview sciencedirect topics. Pada tahun 19631964 havlena dan odeh memperkenalkan metoda baru dalam analisa material balance, yaitu dengan menampilkan material balance dalam bentuk persamaan linier. Under these conditions, the havlena odeh material balance can be expressed as. Material balance in waterdrive reservoirs petrowiki. Feb 26, 20 petroleum reservoir engineering, material balance equation calculations mbe by tom blasingame. This paper presents detailed theories and method of determining fault transmissibility and production history matching using the multitank material balance.
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