Well Test Analysis for Fractured Reservoir Evaluation by Giovanni Da Prat

By Giovanni Da Prat

The most function of this publication is to supply the reader with a uncomplicated knowing of the behaviour of fractured reservoirs, utilizing overview recommendations in keeping with processing strain and flow-rate info caused by construction trying out. It covers the elemental reservoir engineering rules concerned about the research of fluid circulate via fractured reservoirs, the applying of present versions to box circumstances, and the overview and outline of reservoirs, in line with processed information from strain and construction exams. the writer additionally discusses creation decline research, the certainty of that is a key issue influencing final touch or abandonment of a good or perhaps a box. The theoretical ideas are awarded as basically and easily as attainable for you to reduction comprehension. The e-book is therefore compatible for education and academic reasons, and may support the reader who's strange with the topic gather the mandatory abilities for profitable interpretation and research of box information. probably the most very important positive aspects of the booklet is that it fills the space among box operations and examine, in regard to right administration of reservoirs

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01 *... . _. O 10 A t , hours Fig. 1-13. , 1983). During the effect of wellbore storage, the coefficient C is not constant. Courtesy of SPEAIME. 6pBq Kh (1-39) Equation (1-37) can be rewritten as: AP, - mS,f qb(7) log(t - T) dT qD(t) - +b (1-40) qD@> where b = Srn Approximating the convolution integral by the Riemann sum gives the following expression: (1-41) Well-test analysis 26 Equation (1-41) is the equation used to analyze multi-rate test. A plot of the left-hand side versus the summation term on the right-hand side should give us a straight line with slope m and intercept b Based on these concepts, Meunier et al.

1-10. Expected pressure and pressure derivative response in a drawdown test for a well located in a closed rectangle (after Proaiio and Lilley, 1985). Pressure derivative behavior is indicative of relative position of the well in the rectangle. Courtesy of SPE-AIME. taking the derivative: For a closed outer boundary and under pseudo-steady-state flow, PD is given by: (1-35) The derivative is given by: tDAPf, X2 2dDA On log-log coordinates, both PD and t D A P f ) approach asymptotically a unit slope.

The equations presented thus far apply for the general case of a constant flow rate. However, strictly speaking, this is seldom encountered. To model the pressure for multiple rate schedules, the superposition principle is used. Consider the case of a build-up test. The well is initially produced at a constant rate for a period t,, and then it is shut-in and the bottomhole pressure recorded (see Fig. 1-7). Applying the superposition principle, the pressure build-up during the shut-in period may be represented by the pressure drop caused by the flow rate +p acting 4 t P 1 I d I I (b) Fig.

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