SPE Membersopyright 1986, Society of Petroleum Engineers rhis paper was prepared for presentation at the 5Sth Califomis Regional Meeting of the Society of Petroleum Engineers held m Oakland, CA, April 24, !9ss, rhis pa~r was selected for presentation by an SPE Program Commmes following review of mlormation contained in an abstract submitted by the suthor(a). Contents of the psper, as presented, have not bean reviewad by the Sosiefy of Petroleum Enginaare and are aubjact to correction by tha guthor(a). The material, aa presented, doas not necessarily reflect any poaifion of the $ociaty of Petroleum Engineers, its offiiere, or members. Papera praaentad at SPE meetings are subject to publication review by Editorial Committees of the Socialy of Petroleum Enginaera. Permission to copy is restricted to an abstract of not more than 200 words, Illustrations may not be copied. The abstract should contain conspicuous acknowledgment of where nndby whom the pa~r is presented. Write Publicatiina Manager, SPE, P.O. Sox 83SSSS,FUchardaon, TX 7S0S3-3S3S. Telex, 7309S9, SPEDAL. AbstractIntroduction A new comprehensive model of hydraulic fracturing is presented which has been developed for the Gas Research Institute A substantial amount of effort has been invested, espe-(GRI) mobile fracture monitoring and analysis facility. The cially over the past decade, in the development of models for design and analysis of hydraulic fracturing. The resulting modmain purpose of the model is to simulate the hydraulic fracturing process in real-time, that is on+ite during the fracturing els have varied in at least three major aspects: realism and operation, but the model can also be used for pre-fracture de-generality of the assumptions made in formulating the modsign and post-fracture analysis. Sensor data obtained during ela; complexity of the resulting computer codes and machine the course of the job -requirements; and flexibility of the input-output characteriesuch as wellhead pressure, flow rates, tics, especially in relation to real job conditions and operator frac-fluid viscosity, and proppant staging -can be received . directly by the model se input, superseding the pre-frac job interfacing. Although some good progress haa been made by design schedule, and making possible more accurate model es-many groups, there have not been any models which were satisfactory in all of the three important areas, and most models timatea of current fracturing conditions and predictions of final h fracture geometry, as the job proceeds.ave, at beet, been adequate in one aspect only.The overall model haa four major components describing: Examples of previous work may be found in the consid--flow of fluids and slurry in tubular goods erable literature which has evolved on this subject. The sim-creation and propagation of the hydraulic fracture plest models, assuming 2D geometry with a constant specified -transport of proppant, deposition, and fracture closure height, were those of Christianovich, Geertsma, de Klerk and -heat and fluid exchange between frac...

SPE Membersopyright 1986, Society of Petroleum Engineers rhis paper was prepared for presentation at the 5Sth Califomis Regional Meeting of the Society of Petroleum Engineers held m Oakland, CA, April 24, !9ss, rhis pa~r was selected for presentation by an SPE Program Commmes following review of mlormation contained in an abstract submitted by the suthor(a). Contents of the psper, as presented, have not bean reviewad by the Sosiefy of Petroleum Enginaare and are aubjact to correction by tha guthor(a). The material, aa presented, doas not necessarily reflect any poaifion of the $ociaty of Petroleum Engineers, its offiiere, or members. Papera praaentad at SPE meetings are subject to publication review by Editorial Committees of the Socialy of Petroleum Enginaera. Permission to copy is restricted to an abstract of not more than 200 words, Illustrations may not be copied. The abstract should contain conspicuous acknowledgment of where nndby whom the pa~r is presented. Write Publicatiina Manager, SPE, P.O. Sox 83SSSS,FUchardaon, TX 7S0S3-3S3S. Telex, 7309S9, SPEDAL. AbstractIntroduction A new comprehensive model of hydraulic fracturing is presented which has been developed for the Gas Research Institute A substantial amount of effort has been invested, espe-(GRI) mobile fracture monitoring and analysis facility. The cially over the past decade, in the development of models for design and analysis of hydraulic fracturing. The resulting modmain purpose of the model is to simulate the hydraulic fracturing process in real-time, that is on+ite during the fracturing els have varied in at least three major aspects: realism and operation, but the model can also be used for pre-fracture de-generality of the assumptions made in formulating the modsign and post-fracture analysis. Sensor data obtained during ela; complexity of the resulting computer codes and machine the course of the job -requirements; and flexibility of the input-output characteriesuch as wellhead pressure, flow rates, tics, especially in relation to real job conditions and operator frac-fluid viscosity, and proppant staging -can be received . directly by the model se input, superseding the pre-frac job interfacing. Although some good progress haa been made by design schedule, and making possible more accurate model es-many groups, there have not been any models which were satisfactory in all of the three important areas, and most models timatea of current fracturing conditions and predictions of final h fracture geometry, as the job proceeds.ave, at beet, been adequate in one aspect only.The overall model haa four major components describing: Examples of previous work may be found in the consid--flow of fluids and slurry in tubular goods erable literature which has evolved on this subject. The sim-creation and propagation of the hydraulic fracture plest models, assuming 2D geometry with a constant specified -transport of proppant, deposition, and fracture closure height, were those of Christianovich, Geertsma, de Klerk and -heat and fluid exchange between frac...