By Izzy M. Kutasov, Lev V. Eppelbaum
The publication contains elements: strain and stream good checking out (Part I) and Temperature good checking out (Part II), and includes quite a few authors’ advancements. because of the similarity in Darcy’s and Fourier’s legislation an identical differential diffusivity equation describes the temporary circulation of incompressible fluid in porous medium and warmth conduction in solids. as a result it really is average to imagine that the thoughts and information processing systems of strain good assessments will be utilized to temperature good exams. The booklet offers new the way to be certain the formation of permeability and pores and skin components from assessments carried out in simulated wells, designing interference good assessments, processing consistent bottom-hole strain assessments, estimation of the formation temperature and geothermal gradients from temperature surveys and logs, in-situ determination of the formation thermal conductivity and get in touch with thermal resistance of boreholes, temperature regime of boreholes (cementing of construction liners), and the restoration of thermal equilibrium in deep and superdeep wells. Processing and research of strain and geothermal information are proven on a number of box examples from diversified areas of the world.
The e-book is meant for college students, engineers, and researchers within the box of hydrocarbon geophysics and geology, groundwater looking and exploitation, and subsurface surroundings exam. it is going to be additionally valuable for experts learning strain and temperature in parametric deep and superdeep wells.
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2300 pWS 2200 m = 143 psi/cycle 2100 2000 &t, hr p1hr 1900 1000 10 100 20 10 59 tc + &t &t Figure 4-2. Pressure-buildup data for Well IS-7, PT-1, Horner plot. Courtesy of Society of Petroleum Engineers. © 2016 by Taylor & Francis Group, LLC Short Term Testing Method for Stimulated Wells–Field Examples 33 Table 4-5. 333, − p *D p pDCh is the “Exact” solution, pD* is obtained from Eq. (4-7), R = Dch ⋅ 100% . 19 © 2016 by Taylor & Francis Group, LLC 34 Pressure and Temperature Well Testing Table 4-6.
Chatas (Lee 1982, 106–107) tabulated this integral over a wide range of values of tD (Table 4-8, function pDCh). Below we will call the function pDCh as an “Exact” solution. 0002637 kt , φ ct μ rw2 © 2016 by Taylor & Francis Group, LLC (4-35) 36 Pressure and Temperature Well Testing where H is porosity, and ct is the total compressibility. 2 qB μ pD ( t D ) , kh (4-36) where B is the reservoir volume factor. 1 ⎛ 1 ⎞ pD ( t D ) = − Ei ⎜ − ⎟. 2 ⎝ 4t D ⎠ (4-37) In Table 4-8 the function pD*(tD) = pD (tD) (Eq.
Thus in some cases (for small values of dimensionless time) a cylindrical source (wellbore) cannot be substituted by a linear source. 3 The Basic Equation Earlier we obtained a semi analytical equation for the wall temperature for a cylindrical source with a constant heat flow rate (Kutasov 2003). Due to the similarity in Darcy’s and Fourier’s laws the same differential diffusivity equation describes the transient flow of incompressible fluid in porous medium and heat conduction in solids. As a result, a correspondence exists between the following parameters: volumetric flow rate, pressure gradient, mobility, hydraulic diffusivity coefficient and heat flow rate, temperature gradient, thermal conductivity and thermal diffusivity.