Preg 3 Y 8.... Original.docx

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3

Demuestre matemΓ‘ticamente la 𝝓 47% y 𝝓 26% ademΓ‘s seΓ±ale las 𝝓 y K queud conoce nombrΓ‘ndolas. PARA 𝝓 47% d3 βˆ’ d3 π⁄6 VT βˆ’ VS Ο•= Γ— 100 β†’ Ο• = Γ— 100 VT d3 d3 (1 βˆ’ π⁄6) Ο€ Ο•= Γ— 100 β†’ Ο• = (1 βˆ’ ) Γ— 100 β†’ Ο• = 47.64% 3 d 6 PARA 𝝓 26% Vb = 𝑑2 sen ∝. d = 𝑑3 1πœ‹π‘‘3 Vg = 6 d3 𝑠𝑒𝑛 ∝ βˆ’d3 π⁄6) Ο•= Γ— 100 d3 𝑠𝑒𝑛 ∝ 𝑠𝑒𝑛45Β° βˆ’ π⁄6) Ο•=[ ] Γ— 100 = 25.95% = 26% 𝑠𝑒𝑛45Β°

8

Calcular las reservas de gas inicial del yacimiento Jibaro, que tiene los siguientes datos: A= 160 Acres, 𝝓 = 22 %, Sw=23%, Gas residual despuΓ©s de la depletacion es 34%. Bgi = 0.00533 cu. Ft/scf a P1= 3250 psia Bg = 0.00667 cu. Ft/scf a P2= 2500 psia Bg = 0.03623 cu. Ft/scf a P3= 500 psia Net. Productive Thickness = 40 feet. SOLUCION: π‘‰π‘œπ‘™π‘’π‘šπ‘’π‘› π‘π‘œπ‘Ÿπ‘Žπ‘™ = 43560 βˆ— 0.22 βˆ— 160 βˆ— 40 = 61.33 βˆ— 106 𝑐𝑒 βˆ’ 𝑓𝑑 1 βˆ’ 0.23 πΊπ‘Žπ‘  πΌπ‘›π‘–π‘π‘–π‘Žπ‘™ 𝑒𝑛 𝑒𝑙 π‘™π‘’π‘”π‘Žπ‘Ÿ: 𝐺1 = 61.33 βˆ— 106 βˆ— = 8860 𝑀𝑀𝑆𝐢𝐹 0.0053 πΊπ‘Žπ‘  𝑒𝑛 𝑒𝑙 π‘™π‘’π‘”π‘Žπ‘Ÿ 𝑑𝑒𝑠𝑝𝑒𝑒𝑠 𝑑𝑒 π‘™π‘Ž π‘‘π‘’π‘π‘™π‘’π‘π‘–π‘œπ‘› π‘£π‘œπ‘™π‘’π‘šπ‘’π‘‘π‘Ÿπ‘–π‘π‘Ž π‘Ž 2500 π‘π‘ π‘–π‘Ž: 1 βˆ’ 0.23 𝐺2 = 61.33 βˆ— 106 βˆ— = 7080 𝑀𝑀𝑆𝐢𝐹 0.00667 πΊπ‘Žπ‘  𝑒𝑛 𝑒𝑙 π‘™π‘’π‘”π‘Žπ‘Ÿ 𝑑𝑒𝑠𝑝𝑒𝑒𝑠 𝑑𝑒 π‘™π‘Ž π‘‘π‘’π‘π‘™π‘’π‘π‘–π‘œπ‘› π‘£π‘œπ‘™π‘’π‘šπ‘’π‘‘π‘Ÿπ‘–π‘π‘Ž π‘Ž 500 π‘π‘ π‘–π‘Ž: 1 βˆ’ 0.23 𝐺3 = 61.33 βˆ— 106 βˆ— = 1303 𝑀𝑀𝑆𝐢𝐹 0.03623 πΊπ‘Žπ‘  𝑒𝑛 𝑒𝑙 π‘™π‘’π‘”π‘Žπ‘Ÿ 𝑑𝑒𝑠𝑝𝑒𝑒𝑠 𝑑𝑒 π‘™π‘Ž π‘–π‘›π‘£π‘Žπ‘π‘–π‘œπ‘› 𝑑𝑒 π‘Žπ‘”π‘’π‘Ž π‘Ž 3250 π‘π‘ π‘–π‘Ž: 0.34 𝐺4 = 61.33 βˆ— 106 βˆ— = 3912 𝑀𝑀𝑆𝐢𝐹 0.00533 πΊπ‘Žπ‘  𝑒𝑛 𝑒𝑙 π‘™π‘’π‘”π‘Žπ‘Ÿ 𝑑𝑒𝑠𝑝𝑒𝑒𝑠 𝑑𝑒 π‘™π‘Ž π‘–π‘›π‘£π‘Žπ‘π‘–π‘œπ‘› 𝑑𝑒 π‘Žπ‘”π‘’π‘Ž π‘Ž 2500 π‘π‘ π‘–π‘Ž: 0.34 𝐺5 = 61.33 βˆ— 106 βˆ— = 3126 𝑀𝑀𝑆𝐢𝐹 0.00533 π‘…π‘’π‘ π‘’π‘Ÿπ‘£π‘Ž π‘–π‘›π‘–π‘π‘–π‘Žπ‘™ π‘π‘œπ‘Ÿ π‘‘π‘’π‘π‘™π‘’π‘π‘–π‘œπ‘› π‘Ž 500 π‘π‘ π‘–π‘Ž: 0.34 𝐺1 βˆ’ 𝐺3 = (8860 βˆ’ 1303) βˆ— 106 βˆ— = 7557 𝑀𝑀𝑆𝐢𝐹 0.00533 π‘…π‘’π‘ π‘’π‘Ÿπ‘£π‘Ž π‘–π‘›π‘–π‘π‘–π‘Žπ‘™ π‘π‘œπ‘Ÿ π‘π‘œπ‘›π‘‘π‘’π‘π‘π‘–π‘œπ‘› 𝑑𝑒 π‘Žπ‘”π‘’π‘Ž π‘Ž 3250 π‘π‘ π‘–π‘Ž: 𝐺1 βˆ’ 𝐺4 = (8860 βˆ’ 3912) βˆ— 106 = 4948 𝑀𝑀𝑆𝐢𝐹 π‘…π‘’π‘ π‘’π‘Ÿπ‘£π‘Ž π‘–π‘›π‘–π‘π‘–π‘Žπ‘™ π‘π‘œπ‘Ÿ π‘π‘œπ‘›π‘‘π‘’π‘π‘π‘–π‘œπ‘› 𝑑𝑒 π‘Žπ‘”π‘’π‘Ž π‘Ž 2500 π‘π‘ π‘–π‘Ž: 𝐺1 βˆ’ 𝐺5 = (8860 βˆ’ 3126) βˆ— 106 = 5734 𝑀𝑀𝑆𝐢𝐹 𝑆𝑖 β„Žπ‘Žπ‘¦ 𝑒𝑛 π‘π‘œπ‘§π‘œ 𝑑𝑒 π‘–π‘›π‘šπ‘’π‘Ÿπ‘ π‘–π‘œπ‘›, π‘™π‘Ž π‘Ÿπ‘’π‘ π‘’π‘Ÿπ‘£π‘Ž π‘–π‘›π‘–π‘π‘–π‘Žπ‘™ π‘π‘œπ‘Ÿ π‘π‘œπ‘›π‘‘π‘’π‘π‘–π‘œπ‘› 𝑑𝑒 π‘Žπ‘”π‘’π‘Ž π‘Ž 3250 π‘π‘ π‘–π‘Ž, 𝑒𝑠: 1 1 (𝐺1 βˆ’ 𝐺4 ) = (8860 βˆ’ 3912) βˆ— 106 = 2474 𝑀𝑀𝑆𝐢𝐹 2 2

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