Pseudo Radial Flow

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Carlos Eugenio Melro Silva Da Ressurreição - One of the best experts on this subject based on the ideXlab platform.

  • Comportamento transiente de vazão e analise de declinio de produção em poços com fratura vertical assimetrica de condutividade finita
    [s.n.], 2018
    Co-Authors: Carlos Eugenio Melro Silva Da Ressurreição
    Abstract:

    Orientador: Fernando J. Rodriguez de la GarzaDissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Engenharia MecanicaResumo: Uma nova solução para o comportamento de produção de um poço interceptado por uma fratura vertical, assimétrica, totalmente penetrante, de condutividade finita, pro¬duzindo à pressão constante foi desenvolvida neste trabalho. É forneci da uma solução semi-analítica, com utilização das Funções de Green, considerando-se que o poço está 1ocalizado em um reservatório infinito, bem como, é considerado, também, o poço localizado em um reservatório limitado. São desenvolvidas soluções para os vários períodos de fluxo presentes durante o comportamento transiente. Os períodos de fluxo bilinear (1/ qwD versus ti/:!), linear (1/ qwD versus ti/;j) e Pseudo Radial (1/ qwD versus log tDxj), são estudados e seus compor¬tamentos verificados. São também desenvolvidas correlações para o "Pseudo skin" para diferentes valores de assimetria (a) e condutividade (GjD), a partir da análise da solução para o período de fluxo Pseudo-Radial. Observação: O resumo, na íntegra, poderá ser visualizado no texto completo da tese digitalAbstract: New solutions to the production behavior of a finite conductivity assimetri¬cally fractured well, producing under constant pressure are developed in this work. Semianalitical solutions for both transient and the boundary dominated Flow periods are obtained by means of the Greens Function Method. Solutions for the various Flow periods during the infinite acting under' transient Flow conditions are analysed. The bilinear (l/qwD vs t~:I)' linear (l/qwD vs t~;/) and Pseudo Radial (1/ qwD vs log tDxl), behaviour are verified. Correlations for the "Pseudo skin" factor for different values of assimetry (a) and conductivity (CID) are also developed from the analysis of the Pseudo Radial Flow solution. Note: The complete abstract is available with the full electronic digital thesis or dissertationsMestradoMestre em Engenharia de Petróle

  • Comportamento transiente de vazão e analise de declinio de produção em poços com fratura vertical assimetrica de condutividade finita
    2017
    Co-Authors: Carlos Eugenio Melro Silva Da Ressurreição
    Abstract:

    Resumo: Uma nova solução para o comportamento de produção de um poço interceptado por uma fratura vertical, assimétrica, totalmente penetrante, de condutividade finita, pro¬duzindo à pressão constante foi desenvolvida neste trabalho. É forneci da uma solução semi-analítica, com utilização das Funções de Green, considerando-se que o poço está 1ocalizado em um reservatório infinito, bem como, é considerado, também, o poço localizado em um reservatório limitado. São desenvolvidas soluções para os vários períodos de fluxo presentes durante o comportamento transiente. Os períodos de fluxo bilinear (1/ qwD versus ti/:!), linear (1/ qwD versus ti/;j) e Pseudo Radial (1/ qwD versus log tDxj), são estudados e seus compor¬tamentos verificados. São também desenvolvidas correlações para o "Pseudo skin" para diferentes valores de assimetria (a) e condutividade (GjD), a partir da análise da solução para o período de fluxo Pseudo-Radial. Observação: O resumo, na íntegra, poderá ser visualizado no texto completo da tese digitalAbstract: New solutions to the production behavior of a finite conductivity assimetri¬cally fractured well, producing under constant pressure are developed in this work. Semianalitical solutions for both transient and the boundary dominated Flow periods are obtained by means of the Greens Function Method. Solutions for the various Flow periods during the infinite acting under' transient Flow conditions are analysed. The bilinear (l/qwD vs t~:I)' linear (l/qwD vs t~;/) and Pseudo Radial (1/ qwD vs log tDxl), behaviour are verified. Correlations for the "Pseudo skin" factor for different values of assimetry (a) and conductivity (CID) are also developed from the analysis of the Pseudo Radial Flow solution. Note: The complete abstract is available with the full electronic digital thesis or dissertation

Zhang Bo-ning - One of the best experts on this subject based on the ideXlab platform.

  • Second and Third Generation Biofuels: Towards Sustainability and Competitiveness Seconde et troisième génération de biocarburants: développement durable et compétitivité Performance Analysis of Fractured Wells with Stimulated Reservoir Volume in Coal
    2015
    Co-Authors: Zhao Yu-long, Zhang Lie-hui, Feng Guo-qing, Zhang Bo-ning
    Abstract:

    Abstract — CoalBed Methane (CBM), as one kind of unconventional gas, is an important energy resource, attracting industry interest in research and development. Using the Langmuir adsorption isotherm, Fick’s law in the matrix and Darcy Flow in cleat fractures, and treating the Stimulated Reservoir Volume (SRV) induced by hydraulic fracturing as a Radial composite model, the continuous linear source function with constant production is derived by the methods of the Laplace transform and Duhamel theory. Based on the linear source function, semi-analytical solutions are obtained for a fractured vertical well producing at a constant production rate or constant bottom-hole pressure. With the help of the Stehfest numerical algorithm and computer programing, the well test and rate decline type curves are obtained, and the key Flow regimes of fractured CBM wells are: wellbore storage, linear Flow in SRV region, diffusion Flow and later Pseudo-Radial Flow. Finally, we analyze the effect of various parameters, such as the Langmuir volume, radius and permeability in the SRV region, on the production performance. The research results concluded in this paper have significant importance in terms of the development, well test interpretations and production performance analysis of unconventional gas. Résumé — Analyse des performances de puits fracturés avec un volume de réservoir stimule ́ dans de

K.g. Nolte - One of the best experts on this subject based on the ideXlab platform.

  • field application of after closure analysis of fracture calibration tests
    SPE Mid-Continent Operations Symposium, 1999
    Co-Authors: G R Talley, T M Swindell, G A Waters, K.g. Nolte
    Abstract:

    This paper describes field examples of fracture optimization that are based on the after-closure pressure decline period following a proppant-free injection. The primary benefit from these applications is the determination of reservoir transmissibility that is central to specifying the fracture length and conductivity for optimizing field-development economics. The transmissibility is obtained from the after-closure Pseudo-Radial Flow period. In the examples this transmissibility is compared with that calculated from conventional well testing. In one example, the well-test derived fracture half length is compared to the optimized length predicted from a fracturing simulator. Simulated versus actual production results are also compared. The after-fracture closure period of an unpropped fracture injection potentially contains the reservoir Pseudo-linear Flow and Pseudo-Radial Flow periods. Analysis of the linear-Flow period enhances the standard calibration analysis of the pre-closure period (i.e., mini-frac analysis). One enhancement is the potential determination of spurt loss that can not be obtained from the pre-closure decline because spurt loss ends as the fracture extension stops. Another enhancement is the reservoir behavior's perspective of closure time and fracture's length that permits validating the values of these parameters from the pre-closure analysis. This definition of length is obtained from combining the linear and Radial Flow analyses. The field examples are for a moderate permeability, normally pressured, dry-gas Morrow sandstone reservoir located in Hemphill County of the Texas panhandle. The selected testing sequence, and synergy of information from independent pre-frac tests, are reviewed as well as operational and theoretical constraints. A logical application procedure i developed for general field use in similar environments.

  • after closure analysis of fracture calibration tests
    Software - Practice and Experience, 1997
    Co-Authors: K.g. Nolte, J L Maniere, K A Owens
    Abstract:

    This paper provides a framework for adding after-closure fracturing-pressure analysis to the pre-treatment calibration-testing sequence that defines fracture geometry and fluid loss characteristics. The after-closure period contains the reservoir Pseudo-linear Flow period that is the focus of this paper and the Pseudo-Radial Flow period that has been previously addressed in a comprehensive manner. Considerations beyond linear-Flow include the transition from linear-Flow to Radial-Flow that permits extracting the fracture length; the synergy and validation provided by the various phases of a fracture calibration sequence; and application examples for a large range of reservoir parameters and conditions. The examples j include a summary of the operational considerations and derived benefits obtained by extensive use of the analysis offshore Trinidad during a frac-and-pack campaign, and the paper concludes with a detailed analysis of the pumping, closing, and after-closure periods for a calibration (minifrac) treatment during this campaign. A companion paper provides a detailed analytical-framework for the after-closure period. Reservoir linear-Flow provides the remaining and missing link for the fracturing-pressure chain-of-events. This chain gives a continuum of increasing information about the fracture geometry, fracturing fluid, and reservoir with feedback to validate or question prior information. The proposed timeline of events (and information) begins with a small-volume injection (for closure pressure) and shut-in (for reservoir transmissibility and initial pressure); pumping the fracture calibration treatment (for fracture geometry characteristic); the shut-in closure-decline (for total fluid-loss coefficient and fracture length to validate geometry); immediately after closure (for separating the various fluid loss mechanisms and validating closure pressure); after-closure linear-Flow (for spurt-loss and to validate fracture length); and in the case of high-permeability, transitional Flow (for validating various parameter-combinations) and Radial-Flow (for validating reservoir transmissibility and initial pressure). The ensemble of calibrated and validated information provides all the prerequisite fracture and reservoir information for achieving an on-site economics-optimized design of the proppant treatment.

Adel Malallah - One of the best experts on this subject based on the ideXlab platform.

  • Rate Derivative Analysis of Oil Wells Intercepted by Finite Conductivity Hydraulic Fracture
    2015
    Co-Authors: Ibrahim Sami Nashawi, Adel Malallah
    Abstract:

    filed in writing with the technical program chairman prior to the conclusion of the meeting. This paper and any discussion filed will be considered for publication in Petroleum Society journals. Publication rights are reserved. This is a pre-print and subject to correction. Early time conventional transient pressure test data are generally influenced by wellbore storage effects. These effects prohibit good formation description of the area in the vicinity of the wellbore. One of the advantages of constant bottomhole pressure tests is that they are immune of these effects. This study presents an analysis method for finite conductivity fractured oil wells producing at constant bottomhole pressure from closed systems. The reciprocal rate and reciprocal rate derivative data are used to calculate the fracture and reservoir parameters. Bilinear, Pseudo-Radial, and Pseudosteady state Flow regimes are analyzed using log-log plots of the reciprocal rate and reciprocal rate derivative data. The slopes of the straight lines of the various Flow regimes are used to determine reservoir and fracture parameters such as fracture conductivity, reservoir permeability, skin factor, drainage area, and shape factor. A 0.65 slope straight-line equation describing the transition between the Pseudo-Radial and the Pseudosteady state periods in rectangular systems is presented. This straight line can be used to either determine the formation permeability in the absence of the Pseudo-Radial Flow, or calculate the drainage area. Moreover, the intersection points of the various straight lines can be used to verify the accuracy of the results obtained from the different Flow regimes. A systematic step-by-step procedure showing the methodology of the proposed technique is illustrated using two simulated cases

  • Well test analysis of finite-conductivity fractured wells producing at constant bottomhole pressure
    Journal of Petroleum Science and Engineering, 2007
    Co-Authors: Ibrahim Sami Nashawi, Adel Malallah
    Abstract:

    Abstract Conventional pressure buildup and drawdown tests are generally influenced by wellbore storage effects. These effects may dominate the early well test data prohibiting good formation characterization of the area surrounding the wellbore. One of the advantages of constant bottomhole pressure tests is that they are immune to these adverse effects. Constant pressure test data can be used with confidence to provide good description of the formation around the wellbore in addition to full-scale reservoir interpretation. This paper presents an analysis technique for finite conductivity fractured wells producing at constant bottomhole pressure from closed reservoirs. The reciprocal rate and reciprocal rate derivative data are directly used to determine the fracture and reservoir parameters without recoursing to type curve matching. All the dominant Flow regimes such as early time bilinear, Pseudo-Radial, and boundary-dominated Flow are analyzed using log–log plots of the reciprocal rate and reciprocal rate derivative data. The slopes of the straight lines of the different Flow regimes are very distinct and are used to determine various reservoir and fracture parameters such as fracture conductivity, reservoir permeability, skin factor, drainage area, and shape factor. Furthermore, a 0.65 slope straight line equation describing the transition between the infinite acting Pseudo-Radial and the boundary-dominated Flow period in rectangular systems is presented. It is shown in the paper that this straight line can be used to either determine the formation permeability in the absence of the Pseudo-Radial Flow, or calculate the drainage area. It is also illustrated that the intersection points of the various straight lines can be used to verify the accuracy of the results obtained from the different Flow regimes. A systematic step-by-step procedure illustrating the methodology of the proposed technique for the analysis of bilinear, Pseudo-Radial, and boundary-dominated Flow regimes is described. The applicability of the method is illustrated using two simulated cases.

Molina Landinez, Juan Luis - One of the best experts on this subject based on the ideXlab platform.

  • Multi-well Interference Test Analysis
    University of Stavanger Norway, 2020
    Co-Authors: Molina Landinez, Juan Luis
    Abstract:

    Master's thesis in Petroleum engineeringUnderstanding if there is any hydraulic communication, between the wells within a reservoir and a degree of the communication have been a subject of study for a long time. This information becomes crucial when injection schemes are implemented in the oil and gas fields to mobilize the reservoir fluids or support pressure. Interwell tracer tests and interference tests using pressure data are some of the existing methods to determine the hydraulic connectivity between adjacent wells. The objective of this work is to identify and characterize the reservoir communication between the horizontal producers and production-injection wells using data from one of the oil fields on the Norwegian Continental Shelf. The reservoir in focus is a fault block, limited by sealing faults from sides making well interference of special importance for improving drainage strategy and sweep efficiency. The objective above is achieved by analyzing the pressure transient data collected by permanent downhole gauges in combination with rates. Conventional interference test interpretations, that use the exponential integral solution approximation, are not used in this study because of the relative short distance between the wells compared to their long horizontal well section, and the interference with the outer reservoir boundaries and/or with the nearby wells that prevented the late Pseudo-Radial Flow from developing at the late time region. Analysis with time-lapse shut-in pressure transients using analytical, and numerical models are carried out instead, to evaluate well interference for the horizontal production wells and the deviated injection well. Additionally, time-lapse Pressure Transient Analysis (PTA) is implemented to evaluate the changes along the time in the well and reservoir parameters. The PTA using analytical and numerical models showed similar results and both confirmed the well interference between the producers as well as between the producers and the injector. Time-lapse PTA with analytical models has confirmed strong interference between the producers. It was found that interference with wells in production may be similar to wells in shut-in, if these wells significantly depleted pressure in the drainage area before this shut-in. As a next step, numerical models were applied to address the complex reservoir geometry and the horizontal wells, as analytical models consider the horizontal wells nearby the tested well as vertical wells and the closed system by a rectangular shape. From time-lapse PTA analysis, different behavior in the pressure response in the southern part of the field is obtained before and after water injection. Reservoir heterogeneity is observed in this part of the field having higher kh compared to the northern part of the field, but during injection further increase of kh may be interpreted. Multi-layer model and sensitivity analysis suggested that the apparent increase in kh after waterflooding is the result of a contribution of an additional layer. This can be explained by activation of some portions within the same main producing layer or an underlaying layer. The study confirmed capabilities of time-lapse PTA with analytical models to get understanding of interference for long horizontal wells in fault block type of reservoirs. Analytical models are fast in assembling and running, while simplified well and reservoir geometries are capable to capture major pressure behavior in such reservoirs. The well and reservoir parameters from the analytical models were further applied in numerical models giving same quality history match, providing the basis for further study of more complex effects

  • Multi-well Interference Test Analysis
    University of Stavanger Norway, 2020
    Co-Authors: Molina Landinez, Juan Luis
    Abstract:

    Understanding if there is any hydraulic communication, between the wells within a reservoir and a degree of the communication have been a subject of study for a long time. This information becomes crucial when injection schemes are implemented in the oil and gas fields to mobilize the reservoir fluids or support pressure. Interwell tracer tests and interference tests using pressure data are some of the existing methods to determine the hydraulic connectivity between adjacent wells. The objective of this work is to identify and characterize the reservoir communication between the horizontal producers and production-injection wells using data from one of the oil fields on the Norwegian Continental Shelf. The reservoir in focus is a fault block, limited by sealing faults from sides making well interference of special importance for improving drainage strategy and sweep efficiency. The objective above is achieved by analyzing the pressure transient data collected by permanent downhole gauges in combination with rates. Conventional interference test interpretations, that use the exponential integral solution approximation, are not used in this study because of the relative short distance between the wells compared to their long horizontal well section, and the interference with the outer reservoir boundaries and/or with the nearby wells that prevented the late Pseudo-Radial Flow from developing at the late time region. Analysis with time-lapse shut-in pressure transients using analytical, and numerical models are carried out instead, to evaluate well interference for the horizontal production wells and the deviated injection well. Additionally, time-lapse Pressure Transient Analysis (PTA) is implemented to evaluate the changes along the time in the well and reservoir parameters. The PTA using analytical and numerical models showed similar results and both confirmed the well interference between the producers as well as between the producers and the injector. Time-lapse PTA with analytical models has confirmed strong interference between the producers. It was found that interference with wells in production may be similar to wells in shut-in, if these wells significantly depleted pressure in the drainage area before this shut-in. As a next step, numerical models were applied to address the complex reservoir geometry and the horizontal wells, as analytical models consider the horizontal wells nearby the tested well as vertical wells and the closed system by a rectangular shape. From time-lapse PTA analysis, different behavior in the pressure response in the southern part of the field is obtained before and after water injection. Reservoir heterogeneity is observed in this part of the field having higher kh compared to the northern part of the field, but during injection further increase of kh may be interpreted. Multi-layer model and sensitivity analysis suggested that the apparent increase in kh after waterflooding is the result of a contribution of an additional layer. This can be explained by activation of some portions within the same main producing layer or an underlaying layer. The study confirmed capabilities of time-lapse PTA with analytical models to get understanding of interference for long horizontal wells in fault block type of reservoirs. Analytical models are fast in assembling and running, while simplified well and reservoir geometries are capable to capture major pressure behavior in such reservoirs. The well and reservoir parameters from the analytical models were further applied in numerical models giving same quality history match, providing the basis for further study of more complex effects