{"id":8279,"date":"2023-12-12T14:19:32","date_gmt":"2023-12-12T06:19:32","guid":{"rendered":"http:\/\/www.classic-ap.com\/?p=8279"},"modified":"2023-12-12T14:19:37","modified_gmt":"2023-12-12T06:19:37","slug":"the-common-formulas-of-drilling-operations","status":"publish","type":"post","link":"https:\/\/www.classic-ap.com\/en\/energy-sector\/the-common-formulas-of-drilling-operations.html","title":{"rendered":"The common formulas of drilling operations"},"content":{"rendered":"\n
\"\"<\/figure>\n\n\n\n
\"\"<\/figure>\n\n\n\n

The common formulas of drilling operations
(A) pump conditions – the maximum allowable output power of the pump
N allowable pump=N amount \u00d7\u03b7 machine \u00d7\u03b7 capacity
N allowable pump – the maximum allowable output power of the pump (horsepower)
N amount – pump rated power (horsepower)
\u03b7 machine – Mechanical efficiency (80%-85%)
\u03b7 volumetric efficiency (80%)
(2) the practical power of the pump
N Real – practical pump power (horsepower)
P Total — total pump pressure (kg\/cm2)
Q — Displacement (L\/s)
(3) Pressure distribution relationship
P total =P cycle +P nozzle (kg\/cm2)
P cycle — Circulation system pressure loss (kg\/cm2)
P nozzle — nozzle pressure drop (kg\/cm2)
(4) Nozzle pressure drop
P port =0.82\u03c1Q2
C2de4(kg\/cm2)
\u03c1 — mud density (g\/cm3)
C — Flow coefficient (0.95-0.985)
de — Equivalent diameter of nozzle (cm)
Q — Displacement (L\/S)
(5) Circulation system pressure loss
P cycle =K\u03c1Q2(kg\/cm2)
K= pressure loss coefficient
\u03c1 — mud density (g\/cm3)
(6) nozzle water power
N mouth =0.11\u03c1Q3
2de4 (horsepower)
(7) Injection speed
V tip =12.74CQ
de2(m\/s)
(8) Jet impact force
F punch = n\u03c1F0v2 port (N)
n – Number of nozzles
\u03c1 — mud density (g\/cm3)
f0 — cross-sectional area of each nozzle (cm2)
V2 nozzle — Nozzle velocity (m\/s)
(9) Return speed
V back =12.74Q
D2 Well -D2 Pole (m\/s)
V return — return speed (m\/s)
Q — Displacement (L\/S)
D Well — Diameter (cm)
D rod — Outside diameter of drill rod (cm)
Second, various formation pressures
(1) Pore pressure
Pp = Dv Wf * * (0.1 kg\/cm2)
Wf — Average horizontal density (kg\/m3)
Dv — the vertical height from this point to the horizontal plane (m)
(2) hydrostatic column pressure
Ph = 0.1 rho H
(3) Overburden pressure
Po=0.1H(1-K)rm+K\u03c1<\/a>
H — Vertical depth (m)
K — Rock porosity (%)
rm — specific gravity of rock matrix (g\/cm3)
\u03c1 — specific gravity of fluid in rock porosity (g\/cm3)<\/p>\n\n\n\n

  1. Basic killing data
    (1) Shut-in riser pressure: Pd
    Pd+Pmd=Pp=Pa+Pma
    Pd – shut-in riser pressure
    Pmd – mud column pressure in drill pipe
    Pp – Formation pressure
    Pa — shut-in casing pressure
    Pma – Pressure of invaded mud column in annulus
    Pp = Pd + 0.1 rho H
    H — Well depth (m)
    (2) The new proportion of mud required for killing the well
    Rho ml = 10 + Pc (Pp)
    H (g\/cm3)
    Pp — Formation fluid pressure (g\/cm2)
    Pe – Additional pressure
    (3) Total riser pressure Pt during kill cycle
    Pt=Pd+Pc+Pe
    Pd – shut-in riser pressure
    Pc – Pump pressure during small displacement cycle
    Pe – Additional pressure
    (4) Find the initial circulation pressure Pti
    Pti=Pd+Pci+Pe
    Pci – Riser circulation pressure at different discharge rates
    (5) Final circulation pressure Pcf
    Pcf=rml*Pei
    rm (kg\/cm2)
    rml — Kill mud weight (g\/cm3)
    rm – specific gravity of the pump
    Pei — circulating riser pressure at different displacement (kg\/cm2)
    Four, mud commonly used calculation formula
    (1) Calculation of mud quantity in the well
    V = PI \/ 4 d2h (m3)
    D — Well diameter (m)
    H — Well depth (m)
    (2) Calculation of the clay and water amount required for mixing mud
    W soil =V soil *V mud (r mud -r water)
    r soil -r water (tons)
    Q water =V mud -W soil \/r soil (m3)
    V Mud – Mud required (m3)
    r Water — specific gravity of water (g\/cm3)
    r Specific gravity of soil – clay (g\/cm3)
    r Mud – specific gravity of mud (g\/cm3)
    (3) Calculation of dosage of aggravating agent
    W plus =r plus V (r over -r)
    r plus -r weight
    r plus — weight of the weight (g\/cm3)
    r weight – weighted mud weight (g\/cm3)
    r – Mud weight before weight (g\/cm3)
    Original V – Mud volume before weight (m3)
    (4) Cycle time calculation
    T= (V well -V column) \/60Q pump (min)
    Well V – Well volume (L)
    V-string — Drill string volume (L)
    Q Pump — Mud pump capacity (L\/S)
    (5) Upward speed of oil and gas
    V=(H oil -H bit t\/t delay)\/t static
    H oil – depth of oil and gas reservoir
    H Drill bit – the depth at which the drill bit circulates the mud
    t delay – The delay time of the well depth (H bit) m
    t — Time from pump start to oil and gas display
    t rest — rest time (hours)
    V. Others
    (1) Full angular change rate
    Dogleg Angle omega =\u221aa12+a22-2a1a2cos\u25b3 phi
    Cosine omega = cosa1 * cosa2 + sina1sina2cos delta \u0444
    Borehole curvature
    Omega = K * 30 \/ omega
    a1a2 – Angle of inclination at two points
    Phi — the change in orientation of two points
    (2) Card point calculation
    L=K (e\/p) (m)
    K – Calculation coefficient
    e — Average elongation of drill pipe during continuous lifting (cm)
    p — The average pulling force of drill pipe during continuous lifting (tons)
    (3) degree of bending joint
    r=57.3(a-b)\/d (degrees)
    a — Long side of joint (cm)
    b — short side of joint (cm)
    d — Joint diameter (cm) (2023-12-12)<\/li><\/ol>\n\n\n\n
    \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

    The common formulas of drilling operations(A) pump conditions – the maximum allowable output power of the pumpN allowable pump=N amount \u00d7\u03b7 machine \u00d7\u03b7 capacityN allowable pump – the maximum allowable output power of the pump (horsepower)N amount – pump rated power (horsepower)\u03b7 machine – Mechanical efficiency (80%-85%)\u03b7 volumetric efficiency (80%)(2) the practical power of the […]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[67],"tags":[],"class_list":["post-8279","post","type-post","status-publish","format-standard","hentry","category-energy-sector"],"_links":{"self":[{"href":"https:\/\/www.classic-ap.com\/en\/wp-json\/wp\/v2\/posts\/8279","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.classic-ap.com\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.classic-ap.com\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.classic-ap.com\/en\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.classic-ap.com\/en\/wp-json\/wp\/v2\/comments?post=8279"}],"version-history":[{"count":1,"href":"https:\/\/www.classic-ap.com\/en\/wp-json\/wp\/v2\/posts\/8279\/revisions"}],"predecessor-version":[{"id":8286,"href":"https:\/\/www.classic-ap.com\/en\/wp-json\/wp\/v2\/posts\/8279\/revisions\/8286"}],"wp:attachment":[{"href":"https:\/\/www.classic-ap.com\/en\/wp-json\/wp\/v2\/media?parent=8279"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.classic-ap.com\/en\/wp-json\/wp\/v2\/categories?post=8279"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.classic-ap.com\/en\/wp-json\/wp\/v2\/tags?post=8279"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}