A Comprehensive Study of Pressure Transient Analysis with Sorption Phenomena for Single-Phase Gas Flow in Coal Seams

Anbarci, Kemal; Ertekin, Turgay

doi:10.2118/20568-ms

Cited by 39 publications

(15 citation statements)

References 15 publications

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“…The relative formations could be referred to the works presented by Ertekin and Sung (1989) and Anbarci and Ertekin (1990): Langmuir adsorption isotherm is used to describe the equilibrium sorption, while Fick's law of diffusion is used to model the non-equilibrium diffusion within matrix block.…”

Section: Appendix Amentioning

confidence: 99%

A Coupled Model for Fractured Shale Reservoirs with Characteristics of Continuum Media and Fractal Geometry

Wei

Wang

et al. 2015

All Days

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The principle focus of this work is on proposing a new model to evaluate the production performance of complexly-fractured well in shale reservoirs for conducting rate transient analysis (RTA) and pressure transient analysis (PTA). The model is established on the trilinear-flow idealization presented by Brown et al. (2009) for fractured horizontal well and associated with continuum geometry, fractal characterization and anomalous diffusion. The coupled model could take into account the non-uniform distribution of fracture network within stimulated reservoir volume (SRV) and property heterogeneity among hydraulic fractures in the configuration of multiple fractured horizontal well (MFHW).The second focus is put on developing a novel semi-analytical solution to fill the gap between trilinear-flow model for single-fracture hypothesis and actual MFHW configuration. The new solution could account for the effect of fracture-production interaction and property heterogeneity among fractures. Calculative results show that the type, sequence and duration of flow regimes are determined by fractal characteristics, associated anomalous diffusion, fracture number/spacing, fracture conductivity, etc. Hence, it is possible to observe the feature of long-period linear flow trends in the production performance of fractured well and explain the presentation of new flow regimes which are generally not identified by conventional trilinear-flow model. In addition, approximate solutions for corresponding flow regimes have also been proposed to interpret the production performance using straight forward method. Furthermore, a field example from Sichuan Shale in China is presented to demonstrate the practical application of the new model for interpreting production data analysis of MFHW. The model provides us with new knowledge and insight into understanding production characteristics and allows us to correctly predict well performance in fractured shale reservoirs

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Section: Appendix Amentioning

confidence: 99%

A Coupled Model for Fractured Shale Reservoirs with Characteristics of Continuum Media and Fractal Geometry

Wei

Wang

et al. 2015

All Days

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“…Denotations To make our mathematical model more concise, some denotations are used to stand for the HF, inner reservoir, outer reservoir, matrix subsystem, and natural fracture subsystem. In detail, they are • Hydraulic fractures (HF) denoted by F • Inner dual-porosity reservoir denote by I • Outer dual-porosity reservoir denoted by O • Shale matrix subsystem denoted by m • Shale natural fracture subsystem denoted by f Dual-porosity parameters According to Anbarci and Ertekin (1990), we defined some dual-porosity parameters for the shales.…”

Section: Mathematical Modelmentioning

confidence: 99%

Development of a Trilinear Flow Model for Carbon Sequestration in Depleted Shale

Chen

Zhao

et al. 2015

SPE/IATMI Asia Pacific Oil &Amp; Gas Conference and Exhibition

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While many researchers are trending to seek the conventional geological sequestrations for CO2 storage, like saline aquifers, depleted conventional hydrocarbon reservoirs, and unminable coal seams, only a few are interested in depleted shales for safety and economic reasons. Thus, for reservoir engineers, lots of work needs to be done to better this situation. First and foremost, it is an urgent issue should be settled how to estimate the CO2 storage capacity in depleted shale.In this paper, a new analytical method to estimate CO2 storage in shale wasdeveloped. First, a trilinear flow model was proposed for the injection well, namely a multiple fractured vertical well (MFHW), at a constant injection rate. The model incorporated with multiple mechanisms including Knudson diffusion, gas adsorption, and effect of stress-sensitivity. Then, the transient pressure solution of injection well is solved by applying mathematical methods. Subsequently, CO2 storage capacity was evaluated according to the transient pressure performance of injection well. After that, model verification as well as sensitivity analysis was conducted. Finally, we applied the proposed method into a case derived from the New Albany Shale, which has been proved to be a promising candidate for CO2 storage.The results show that a good agreement exists between our analytical results and these numerical solutions. The average difference is about 2.57%, which shows our methodology is reasonable. Further, it only takes about 10s CPU times with 100 time step by employing the proposed approach to estimate the CO2 storage capacity of the study area in the New Albany Shale, which indicates the new approach is rapid. Additionally, results of sensitive analysis show that as stress-sensitivity coefficient, adsorption index, and Knudsen diffusion coefficient increase, CO2 storage capacity increases. As storage ratio increases, CO2 storage capacity decreases.This meaningful work provides a new angle on estimation of CO2 storage capacity, which is beneficial to exploit the residual depleted shale reservoirs as well as cut CO2 emission.

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“…The first model assumes equilibrium conditions while the second model allows for time dependent, non-equilibrium desorption. If equilibrium conditions are assumed, then the general material balance equation takes the form: (27) where:…”

Section: Modified P/z Analysis 12mentioning

confidence: 99%

“…The assumptions used in the development of these equations are identical to the assumptions used in the traditional material balance equations for conventional gas reservoirs. Equation (27) was rearranged to the familiar form: (29) where in the general case:…”

Section: Modified P/z Analysis 12mentioning

confidence: 99%

State-of-the-Art Modeling for Unconventional Gas Recovery, Part II:Recent Developments

King¹,

Ertekin²

1995

Proceedings of Low Permeability Reservoirs Symposium

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In 1989, a survey of mathematical models which describe methane production from coal seams was presented at the SPE Joint Rocky Mountain RegionalfLow Permeability Reservoirs Symposium in Denver, Colorado. This paper was later published in SPE Formation Evaluation Journal March 199 I issue. In this survey, 37 distinct models for coalbed methane production were reviewed in mathematical detail. Since that time, 15 additional mathematical approaches to forecasting reservoir performance, each with its own assumptions and limitations, have been developed. The objective of this paper is to discuss each of these recent models and to compare the assumptions, features, and limitations of these models with each other and with the original 37 models. Recommendations are also presented on the use of each model.

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A Comprehensive Study of Pressure Transient Analysis with Sorption Phenomena for Single-Phase Gas Flow in Coal Seams

Cited by 39 publications

References 15 publications

A Coupled Model for Fractured Shale Reservoirs with Characteristics of Continuum Media and Fractal Geometry

A Coupled Model for Fractured Shale Reservoirs with Characteristics of Continuum Media and Fractal Geometry

Development of a Trilinear Flow Model for Carbon Sequestration in Depleted Shale

State-of-the-Art Modeling for Unconventional Gas Recovery, Part II:Recent Developments

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