Article

Application of Material Balance and Volumetrics to Determine Reservoir Fluid Saturations and Fluid Contact Levels

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Abstract

A methodology was developed to determine residual saturations in a reservoir from fluid contact measurements and to forecast future contact movement. The methodology is based on the remaining volumes of fluid in the reservoir. At any given time, the remaining volumes of fluid (oil, gas and water) can be determined from known pore volumes, fluid contacts and saturations. The remaining fluid volumes can also be determined from material balances. The volumetric and material balance calculations are equated to solve for either the unknown saturations or the location of the fluid contacts. To apply the method, production, injection, pressure, fluid property, pore volume versus depth and initial fluid contact data are required. The methodology was demonstrated on the Westerose D-3 Pool. Residual saturations were determined to be: Swi = 6%, Sgc = 4%, Sorw = 25%, Sorg = 16%, Sgt = 23% and Sorwg = 13.5%. A history match of the historical contact levels for the Westerose Pool was obtained with an average absolute deviation of 2.0 m, which was within the measurement error. Contact movements were also forecast from 2000 to 2003. While there were no reported contact measurements in this period, the observed decline in oil rates was consistent with the predicted oil zone thickness. Introduction Reservoir simulation and analytical models require reservoir data, including: production, injection and pressure history; fluid properties; rock properties (porosity, permeability, water saturation, gross pay, net pay, top of structure); rock-fluid properties (relative permeability, capillary pressure); well locations and perforation schedules; and, contact (water-oil and gas-oil) measurements. Usually, the greatest uncertainty is in the rock properties and the rock-fluid properties. This paper focuses on rock-fluid properties; particularly, end point or residual saturations such as residual oil saturation to water displacement (Sorw), gas displacement (Sorg) and gas displacement followed by water displacement (Sorwg). These saturations limit the maximum oil recovery from a reservoir. The end point saturations are usually determined from laboratory analyses of core plugs. However, these core plugs are sometimes altered during handling, sampling and preparation. Another problem is that the best core often turns to rubble and is not retrieved. In addition, core sample size is of the order of one billionth of reservoir scale and if the reservoir is heterogeneous, a set of relative permeability curves derived from laboratory analysis may not represent the actual reservoir end point saturations. In theory, more representative field-scale saturation end points can be determined for reservoirs with fluid contacts from fluid contact movement data. Batycky et. al.(1) discussed using gas contact measurements to determine trapped gas saturations (Sgt). Their method involves equating volumetric oil- and gas-in-place to material balance oil- and gas-in-place and solving for the unknown Sgt. However, to the authors' knowledge, a generalized formulation of this method has not been developed. As well, such a method has yet to be adapted to forecast contact movement, given known residual saturations. The objectives of this paper are:to develop a method for determining residual (end point) saturations from contact measurements; and,to develop a method to forecast contact movement in a reservoir once the end point saturations are known.

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... Kirby, Stamm and Schnitz (1956) also studied the depletion history, future performance, and injection performance of a gascap-drive reservoir. Delauretis, Yarranton, and Baker (2008) also showed the application of material balance and volumetrics to determine reservoir fluid saturations and fluid contact levels for various reservoirs including a combination drive. Moreover, there are some authors who presented developed methods for obtaining original fluids in place and aquifer parameters from material balance equation by improving the solution of Havlena and Odeh (Havlena & Odeh, 1963;Havlena & Odeh, 1964), also applying mathematical elements such as curve fitting to determine the best accurate parameters. ...
... Delauretis et al. equations that describe the remaining gas, oil and water volumes, respectively, during reservoir depletion were used as follows (Delauretis, Yarranton, & Baker, 2008): ...
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... A case study was used to validate the theory proposed and a good match was obtained showing that a calibrated material balance can be used to predict fluid contacts to reasonable accuracy. Delauretis,Yarranton & Baker (2008) developed a methodology to estimate current oil-watercontact (OWC) and gas-oil-contact (GOC) in the field from initial fluid in place, production and, rock and fluid properties. The methodology was based on the volume of remaining fluid in the reservoir using material balance techniques and calculation of the fluid contacts assuming the whole reservoir as a single tank, and with best estimate of initial contacts and residual saturations. ...
... Reservoir simulation and analytical models require reservoir data, including: production, injection and pressure history; fluid properties; rock properties (porosity, permeability, water saturation, gross pay, net pay, top of structure); rockfluid properties (relative permeability, capillary pressure); well locations and perforation schedules; and, contact (water-oil and gas-oil) measurements. Usually, the greatest uncertainty is in the rock properties and the rock-fluid properties [50] . ...
Thesis
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... A case study was used to validate the theory proposed and a good match was obtained showing that a calibrated material balance can be used to predict fluid contacts to reasonable accuracy. Delauretis,Yarranton & Baker (2008) developed a methodology to estimate current oil-watercontact (OWC) and gas-oil-contact (GOC) in the field from initial fluid in place, production and, rock and fluid properties. The methodology was based on the volume of remaining fluid in the reservoir using material balance techniques and calculation of the fluid contacts assuming the whole reservoir as a single tank, and with best estimate of initial contacts and residual saturations. ...
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An aquifer model study investigated the effect of the Leduc Woodbend D-3A Pool gas cap blowdown on nine other communicating pools situated on the common Cooking Lake Aquifer. A three-dimensional, three-phase black oil model was constructed to represent the ten pools along the trend and the Cooking Lake carbonate platform on which they rest. An excellent history match of the pools' performance substantiated the investigation of several production alternatives to optimize gas cap blowdown recovery, as well as study the impact of the blowdown on the other communicating pools on the Cooking Lake chain. Several production cases investigated the effect of void age replacement, water injection site selection and gas cap blowdown rate. The aquifer model also provided the necessary boundary conditions, such as pressure and water influx/efflux histories, for other Leduc simulation models. The primary focus of the paper, then, is on the operational impact of the blowdown, not on the mechanics to the simulator, or the simulation process. Introduction The ten, prolific Leduc-aged Pools that stretch for 145 km from St. Albert to Homeglen-Rimbey have come to be known as the "Golden Trend " (Fig. 1). Known too, is that these ten pools, as well as other distant D-3 reefs, receive pressure support from the vast Cooking Lake Aquifer. Being concerned about the impact the proposed Leduc-Woodbend D-3A Pool gas cap blowdown could have on the nine neighbouring pools. Esso Resources Canada Limited retained INTERCOMP to conduct an aquifer model study of the local system. The objectives of the study were to:develop a reliable, predictive tool for the Golden Trend by obtaining a pressure match for the period 1947 to 1981 for the ten major pools (St. Albert D-3B, Big Lake D-3A, Acheson D-3A, Leduc D-3A, Glen Park D-3A, Wizard Lake D-3A, Bonnie Glen D-3A, Westerose D-3, Westerose South D-3A and Homeglen-Rimbey D-3. See Fig. 2); andpredict the pressures of these ten pools to the end of their forecasted productive lives during:—a gas cap blowdown at Leduc; and—selective water injection, designed to isolate pressure influences in other major pools along the aquifer during a Leduc blowdown. In recognizing :the great quantity of remaining reserves in the ten pools; andthe potential to increase the reserves in some of these pools by miscible flooding; the authors wish to make their efforts known to the industry. The approach of the writers is to summarize the work with the expectation that, if needed, the reader will reference Application 830340(1) to obtain the details desired. Setting up the Simulator The model used in this study was Intercomp's Beta II(2) black oil reservoir simulator. Consistent with a three-phase, three-dimensional, Cartesian application of the simulator, the following data were prepared. Aquifer Description Area The area of the Cooking Lake Aquifer included in this study extends southwesterly from Edmonton for a distance of over 136 km (Fig. 1). The width of the study area varies from 7.9 to 13.1 km, following the lateral extent of the Cooking Lake platform.