{"title":"Simplified Power-Law Model for the Material Balance of Gas Reservoirs Experiencing Water Influx","authors":"N. Hosseinpour-Zonoozi, T. A. Blasingame","doi":"10.2523/iptc-24407-ms","DOIUrl":null,"url":null,"abstract":"\n A simple power-law model is presented for performance of gas reservoirs experiencing water influx using only cumulative production, reservoir pressure, and the gas deviation factor (i.e., the z-factor). The application of the model provides estimation of gas-in-place. The gas material balance relation including ONLY water influx is given in dimensionless form as: pzD=(1−GpD)(1−WeD) where: pzD=p/zpi/zi WeD=weBWGBgi GpD=GpG\n The following empirical model is proposed for dimensionless water influx function (WeD): WeD=aGpb+1\n Substituting this model into the gas material balance yields: pzD=(1−GpD)(1−aGpb+1)\n The proposed power-law water influx model was exhaustively validated using the Carter-Tracy and Van Everdingen-Hurst methods to simulate water influx and pressure-cumulative gas production behavior for an unsteady-state water-influx system. The results of these simulation cases were fitted using the proposed (empirical) power-law water influx model and for every case that was tested, the proposed model gave an essentially perfect correlation of the simulated reservoir performance behavior.","PeriodicalId":518539,"journal":{"name":"Day 3 Wed, February 14, 2024","volume":"116 ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Day 3 Wed, February 14, 2024","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2523/iptc-24407-ms","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
A simple power-law model is presented for performance of gas reservoirs experiencing water influx using only cumulative production, reservoir pressure, and the gas deviation factor (i.e., the z-factor). The application of the model provides estimation of gas-in-place. The gas material balance relation including ONLY water influx is given in dimensionless form as: pzD=(1−GpD)(1−WeD) where: pzD=p/zpi/zi WeD=weBWGBgi GpD=GpG
The following empirical model is proposed for dimensionless water influx function (WeD): WeD=aGpb+1
Substituting this model into the gas material balance yields: pzD=(1−GpD)(1−aGpb+1)
The proposed power-law water influx model was exhaustively validated using the Carter-Tracy and Van Everdingen-Hurst methods to simulate water influx and pressure-cumulative gas production behavior for an unsteady-state water-influx system. The results of these simulation cases were fitted using the proposed (empirical) power-law water influx model and for every case that was tested, the proposed model gave an essentially perfect correlation of the simulated reservoir performance behavior.