The 15 reference contexts in paper G. Asalkhuzina F., A. Davletbaev Ya., R. Nuriev I., Г. Асалхузина Ф., А. Давлетбаев Я., Р. Нуриев И. (2017) “ГИДРОДИНАМИЧЕСКОЕ ИССЛЕДОВАНИЕ СКВАЖИН С МАГИСТРАЛЬНОЙ ТЕХНОГЕННОЙ ТРЕЩИНОЙ ГИДРОРАЗРЫВА ПЛАСТА: ЧИСЛЕННОЕ МОДЕЛИРОВАНИЕ И АНАЛИЗ ПРОМЫСЛОВЫХ ДАННЫХ // INTERFERENCE TEST TO FRACTURED INJECTION WELLS: MATHEMATICAL MODEL AND FIELD CASE” / spz:neicon:tumnig:y:2017:i:6:p:56-62

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    Development of hydraulic fractures mainly occurs along the axes of the regional stress field assuming fracturing operations are conducted in areas lacking a significant alteration of pressure and temperature, i.e. new exploration wells
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    [1]
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    . Modern pumping units which are employed for hydraulic fracturing operations achieve wellhead pressures of up to 20 MPa during the injection of fracturing fluid into the reservoir. Spontaneous hydraulic-fracturing growth in the horizon of interest is initiated as soon as injection pressure exceeds yield strength of the particular reservoir rock [2–8].
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    Modern pumping units which are employed for hydraulic fracturing operations achieve wellhead pressures of up to 20 MPa during the injection of fracturing fluid into the reservoir. Spontaneous hydraulic-fracturing growth in the horizon of interest is initiated as soon as injection pressure exceeds yield strength of the particular reservoir rock
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    [2–8]
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    . Real-time data acquisition of wellhead pressures from active and observation wells and the results of interference testing confirm that in some cases hydraulic fractures may achieve a length of up to 1 000 m [8].
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    Real-time data acquisition of wellhead pressures from active and observation wells and the results of interference testing confirm that in some cases hydraulic fractures may achieve a length of up to 1 000 m
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    [8]
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    . S. Ekie et al. [9] present a mathematical model for the fracture formation for two vertical wells — one active well and one observation well. Conducting pulse-tests for the tracking of registration response pressures in several vertical observation wells can be used to determine the orientation of the fracture originating from the active fracture well.
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    Real-time data acquisition of wellhead pressures from active and observation wells and the results of interference testing confirm that in some cases hydraulic fractures may achieve a length of up to 1 000 m [8]. S. Ekie et al.
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    [9]
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    present a mathematical model for the fracture formation for two vertical wells — one active well and one observation well. Conducting pulse-tests for the tracking of registration response pressures in several vertical observation wells can be used to determine the orientation of the fracture originating from the active fracture well.
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    Conducting pulse-tests for the tracking of registration response pressures in several vertical observation wells can be used to determine the orientation of the fracture originating from the active fracture well. N. Mousli et al.
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    [10]
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    , D. Meehan et al. [11] presented analytical solutions of modeling interference test for wells with parallel. D. Tiab and E. Abobise [12] discussed the design of pulse testing of a fractured active well and vertical observation well (without fractures), presenting correlations for fracture orientation, average permeability and other parameters of the reservoir on the response amplitude and the
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    2158
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    Conducting pulse-tests for the tracking of registration response pressures in several vertical observation wells can be used to determine the orientation of the fracture originating from the active fracture well. N. Mousli et al. [10], D. Meehan et al.
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    [11]
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    presented analytical solutions of modeling interference test for wells with parallel. D. Tiab and E. Abobise [12] discussed the design of pulse testing of a fractured active well and vertical observation well (without fractures), presenting correlations for fracture orientation, average permeability and other parameters of the reservoir on the response amplitude and the response time in the
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    2272
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    Conducting pulse-tests for the tracking of registration response pressures in several vertical observation wells can be used to determine the orientation of the fracture originating from the active fracture well. N. Mousli et al. [10], D. Meehan et al. [11] presented analytical solutions of modeling interference test for wells with parallel. D. Tiab and E. Abobise
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    [12]
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    discussed the design of pulse testing of a fractured active well and vertical observation well (without fractures), presenting correlations for fracture orientation, average permeability and other parameters of the reservoir on the response amplitude and the response time in the observation well.
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    Abobise [12] discussed the design of pulse testing of a fractured active well and vertical observation well (without fractures), presenting correlations for fracture orientation, average permeability and other parameters of the reservoir on the response amplitude and the response time in the observation well. In the same year K. Cooper and R. Collins
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    [13]
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    applied of a mathematical model which is based on interference test of a two-well system with a fractured (one fracture) and another non-fracture well that was used to interpret the results of a field case and to estimate underlying parameters of the system.
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    Collins [13] applied of a mathematical model which is based on interference test of a two-well system with a fractured (one fracture) and another non-fracture well that was used to interpret the results of a field case and to estimate underlying parameters of the system. The article of H. Najurieta et al.
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    presents a two-dimensional model for heterogeneous anisotropic reservoirs; demonstrating the mathematical modeling for all wells. It can be used to calculate 2D pressure maps, transmissivity and diffusivity between active and observation wells estimated.
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    It can be used to calculate 2D pressure maps, transmissivity and diffusivity between active and observation wells estimated. Reservoir case studies with conductive faults were also presented in the article
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    . Contrary to the abovementioned papers we elaborate a case that consists of the active fractured well and the observation fractured well (fractures are oriented along the regional stress) either having a low-permeability porous bridge between the fracture tips, or two wells which are being directly connected through intersecting fracture planes without a porous media bridge.
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    the active fractured well and the observation fractured well (fractures are oriented along the regional stress) either having a low-permeability porous bridge between the fracture tips, or two wells which are being directly connected through intersecting fracture planes without a porous media bridge. Furthermore, we want to highlight the results of interference test from the work
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    by interpreting the chosen data model and providing an estimation of the fracture and reservoir characteristics. Formulating the abovementioned problem, injection pressure is assumed to surpass the fracture closure pressure, i. e. its geometry (height, length, width) is treated constant.
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    The system of equations (1)–(4) and the corresponding boundary conditions (5)–(8) for the geometry, as shown in Figure 1, were solved using the finite difference method for the Newton iteration scheme on a non-uniform rectangular difference grid
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    [16]
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    . The accuracy of the approximation was tested against an analytical solution for the case of wells with a single vertical fracture of finite conductivity [17]. An example of calculation was performed using the following parameters of the system: km = 1∙10 -15 m2; μ= 0,3 mPa∙s; L=500 m; h= 21,23 m; mφ= 0,17; fφ=0,414; cmt= 3,6687∙10 -9 1/Pa; cft= 9,4845∙10 -9 1/Pa; d= 1, 3, 5, 10,
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    (1)–(4) and the corresponding boundary conditions (5)–(8) for the geometry, as shown in Figure 1, were solved using the finite difference method for the Newton iteration scheme on a non-uniform rectangular difference grid [16]. The accuracy of the approximation was tested against an analytical solution for the case of wells with a single vertical fracture of finite conductivity
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    [17]
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    . An example of calculation was performed using the following parameters of the system: km = 1∙10 -15 m2; μ= 0,3 mPa∙s; L=500 m; h= 21,23 m; mφ= 0,17; fφ=0,414; cmt= 3,6687∙10 -9 1/Pa; cft= 9,4845∙10 -9 1/Pa; d= 1, 3, 5, 10, 30, 100, 200, 500, 800 m; xdf−=9001 m; 2fx=100 m; kfwf ≈ 10∙10-12 m2∙m; ip= 27∙106 Pa.
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    The presence of a small porous medium bridges having low filtration properties leads to a significant loss of pressure response between the active and the observation wells. The field case which are presented by A. Davletbaev et al.
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    show that pressure is responding almost instantaneous between the active and observation wells. Furthermore, the pressure difference between the wells is much smaller than in the results which are shown in Figures 2–4.
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    The Figure emphasizes that higher fracture conductivities result in a better match for both pressure changes and absolute values of pressures in the active and the observation wells. Field case interpretation. The mathematical model, which is presented by A. Davletbaev et al.
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    [8]
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    , was used to interpret interference-test pressure data for wells pair (active well and observation well) and to acquire refined fracture parameters. History of injected water volumes into the active well was included in the mathematical model.
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