1-20 of 388 Search Results for

Impulse (δ(t))

Follow your search
Access your saved searches in your account

Would you like to receive an alert when new items match your search?
Close Modal
Sort by
Proceedings Papers

Paper presented at the SPE Annual Technical Conference and Exhibition, October 3–6, 1999
Paper Number: SPE-56418-MS
... identification (diagnostic). Because an impulse response is also the derivative of a step-rate change, the modified pressure change [( p o -p ws )Δ t ] from an impulse test can be used for the system and flow regime identification as suggested Ayoub et al . 1 However, this creates problems because...
Proceedings Papers

Paper presented at the SPE Annual Technical Conference and Exhibition, October 26–29, 2020
Paper Number: SPE-201335-MS
... ( 0 ) p D ( Δ t ) p D ( 2 Δ t ) ⋮ p D ( n Δ t ) ] We can solve this system of linear equations directly for impulse response as shown in Jargon and Poollen (1965) using a recursive method. By expressing the vector...
Proceedings Papers

Paper presented at the SPE Annual Technical Conference and Exhibition, October 30–November 2, 2011
Paper Number: SPE-147679-MS
... = 2 e 2 C D New approximation for pressure response at long shut-in times in impulse tests (13) p w s D ≈ − 1 2 ln ( t p D + Δ t D Δ t D ) + t p D C D ; 1 ( C D e 2 s...
Proceedings Papers

Paper presented at the SPE Annual Technical Conference and Exhibition, October 9–12, 2005
Paper Number: SPE-95510-MS
...-Ley et al . 13 originally introduced this derivative, and later Kuchuk 4 called this "impulse derivative" ( IDER ), which can be defined as: Liquid Influx (8) I D E R = ( Δ t ) 2 d p w d Δ t Gas Influx (9) I D E R = ( Δ t...
Proceedings Papers

Paper presented at the SPE Annual Technical Conference and Exhibition, October 9–11, 2017
Paper Number: SPE-187063-MS
... ϕ i c t i ( λ h ) i ] For j ≠ 1, the impulse responses, ḡ j1 , are needed to calculate the pressure Δ p wj at j -th wellbore interval. These impulse responses ḡ j1 are not available in literature. In the following, WFT observation probe solution...
Proceedings Papers

Paper presented at the SPE Annual Technical Conference and Exhibition, September 21–23, 2021
Paper Number: SPE-206108-MS
... 1979 ). The G -function is defined as (3) G ( Δ t D N , α N ) ≡ 4 π [ g ( Δ t D N , α N ) − g 0 ( α N ) ] where the dimensionless loss-volume function at the end of pumping is defined by Valkó and Economides (1999) as (4...
Proceedings Papers

Paper presented at the SPE Annual Technical Conference and Exhibition, September 24–27, 2006
Paper Number: SPE-103040-MS
... ( ω ) → H D ( ω ) → j ω P ( ω ) f r e q u e n c y   d o m a i n In the time domain, h ( t ) is called the system's impulse response because, when we apply an impulse, δ ( t ) ↔ 1, to the input, the output response is (B5) 1 2 π...
Proceedings Papers

Paper presented at the SPE Western Regional Meeting, May 27–29, 2010
Paper Number: SPE-133539-MS
... + Δ t ) n Where exponent values, n , are -1, -0.5, -0.75, and -1.5, for radial, linear, bilinear, and spherical flow, respectively. Also, Ayoub et al. (1988) , proposed a methodology for impulse tests which basically consists of multiplying pressure change by flowing time or by shut...
Proceedings Papers

Paper presented at the SPE Gas Technology Symposium, May 15–17, 2006
Paper Number: SPE-100578-MS
... ( μ ϕ c t k 1 t e + Δ t ) 1 / 2 , where ϕ is the porosity. Soliman 6 wrote the long-term approximation or linear-flow impulse solution in dimension-less terms as (6) p w D ( t L f D ) = ( t e ) L f D π...
Proceedings Papers

Paper presented at the North Africa Technical Conference and Exhibition, April 15–17, 2013
Paper Number: SPE-164714-MS
... has to satisfy the equation: 19 δ D Constant Rte  = 1 2 E 1 ( r D 2 4 t D F l i g h t ) Or, if we consider the response to an impulse, 20 δ D Impulse  = 1 2 e r D 2 4 t D Flight  t D Flight...
Images
DMT partitions the ISI channel into a set of  N  parallel and independent I...
Published: 25 February 2008
Fig. 8 DMT partitions the ISI channel into a set of N parallel and independent ISI-free subchannels. The DMT symbol period T = 1/Δ f is many times greater than the channel impulse response. Data bits are loaded into subchannels and transmitted in parallel during each DMT period. More
Proceedings Papers

Paper presented at the SPE Annual Technical Conference and Exhibition, October 27–29, 2014
Paper Number: SPE-170582-MS
... , then followed by rate change q 2 for a very small impulse time Δ t . The bottom-hole pressure p wf 1 at the time t 1 is: (5) p w f 1 = p 0 − q 1 ∫ 0 t 1 g ( τ ) d τ The bottom-hole pressure p wf2 at the time t 1 + Δ t is: (6) p w f 2...
Proceedings Papers

Paper presented at the SPE/ICoTA Coiled Tubing and Well Intervention Conference and Exhibition, March 22–23, 2016
Paper Number: SPE-179067-MS
... generates a water-hammer pressure pulse with amplitude given by the well-known water-hammer equation ( Joukowski 1898 ): (1) P w h = ρ w c t Δ v t , where ρ w is the water density, Δ v t is the change in fluid velocity in the upstream tubing, and c t is the speed...
Proceedings Papers

Paper presented at the SPE Annual Technical Conference and Exhibition, September 26–29, 2004
Paper Number: SPE-90865-MS
... C R reservoir fluid-loss coefficient, L/T 1/2 C T total fluid-loss coefficient, L/T 1/2 F * ( t ) √χ c F ( t ), Eq. C-27, T 1/2 G * G- axis intercept, dimensionless M R recession multiplier for Δ t c , dimensionless P g press. fcn...
Proceedings Papers

Paper presented at the SPE Annual Technical Conference and Exhibition, September 19–22, 2010
Paper Number: SPE-134139-MS
... . The production tubing is anchored at one end by the impulse generator and at the other end by the wellbore. Acoustic velocity in a fluid-filled production tubing can be expressed by ( Wylie et al., 1993 ): a = 1 ρ ( K T + d e Y ) Positive pressure pulses increase...
Images
DMT partitions the ISI channel into a set of  N  parallel and independent I...
Published: 09 October 2005
Fig. 7 DMT partitions the ISI channel into a set of N parallel and independent ISI-free subchannels. The DMT symbol period T = 1/Δ f is many times greater than the channel impulse response. Data bits are loaded into subchannels and transmitted in parallel during each DMT period. More
Proceedings Papers

Paper presented at the Rocky Mountain Oil & Gas Technology Symposium, April 16–18, 2007
Paper Number: SPE-107877-MS
... , the pseudoradial-flow impulse solution can be written as (B-12) p w ( t e + Δ t ) − p i = 141.2 ( 24 ) ( 0.6125 ) ( 0.0002637 ) 1 / 4 k f w f ( Q t + ( p 0 − p i ) C a c ) μ 3 / 4...
Proceedings Papers

Paper presented at the SPE Russian Oil and Gas Exploration and Production Technical Conference and Exhibition, October 16–18, 2012
Paper Number: SPE-160551-MS
...: Time discretization leads to a variation representing discrete quantities of crude oil properties. Between the two time scales ( T and T Δ T ) will apply the energy balance equation defined by the first principle of thermodynamics, the amount of elemental analysis. (18) m c ( T i...
Proceedings Papers

Paper presented at the SPE Unconventional Resources Conference, April 1–3, 2014
Paper Number: SPE-168981-MS
... μc t γ k ⋅ ∂ p ∂ y Constant Rate Boundary Condition The initial and boundary conditions for this case are listed as follows: p = p i y ≥ 0 t = 0 p = p i y → ∞ t > 0 q = δ 2khx f μ B...
Book Chapter
Publisher: Society of Petroleum Engineers
Published: 01 January 2021
DOI: 10.2118/9781613998434-09
EISBN: 978-1-61399-906-6
... ) s q ¯ ( s ) in the Laplace domain, and in the time domain as (9.6) g ( r , t ) = ∫ 0 t d τ τ p ( r , t − τ ) ℱ ( τ ) , where (9.7) ℱ ( t ) = ℒ − 1 [ 1 q ¯ ( s ) ] , Δ p ( r , t ) = p o...

Product(s) added to cart

Close Modal