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Surge Swab pressure code

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ANKIT KUKREJA
ANKIT KUKREJA

This document contains code for calculating surge and swab pressures in an oil well. It takes inputs like pipe dimensions, fluid properties, flow rates, and calculates parameters like pressure losses and optimal flow rate. The code contains sections for calculating pressures at different flow rates, plotting the well dynamics, and determining the optimum hydraulic path and flow rate that balances maximum pump pressure with nozzle area and bit pressure loss.

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7/3/12 2:53 PM C:UserskukrejankitDesktopCoursestribologys...code2.m 1 of 13 % Surge/Swab Pressure Calculations Algorithm Version 1.0 % close all clear clc %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Developed by Ankit Kukreja (ankit.kukreja.89@gmail.com) % on July 3rd, 2012 % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% d=2.25; % Pipe ID (inch) d1=4; % Pipe OD (inch) d2=6.25; % Casing ID (inch) rho=9; % Fluid density (ppg) L= 10000; % Depth of well (ft) theta600=60.8; % Fann dial reading at 600 rpm theta300=37.4; % Fann dial reading at 300 rpm Cd=0.9697; % Discharge coefficient at nozzle Nsize=12; % Current nozzle size Nno=3; % Number of Nozzles currently in use qmin = 125; % Minimum flow rate (gpm) % Pump parameters Ppmax=3000; % Maximum achievable pump pressure PHP=1250; % Pump rating (Horsepower) e=0.91; % Pump efficiency % Enter the choice of criterion to choose % 1 - Maximum Jet impact force % 2 - Maximum drill bit hydraulic horsepower % 3 - Maximum jet velocity choice=1; % % Step 1 calculations % Flow behaviour parameter, n (dimensionless) n=3.32*log10(theta600/theta300) % Flow behaviour parameter, K (lbf/100 ft^2) K=510*theta300/(511^n) % Effective area through nozzle Aeff=(pi/4)*Nno*((Nsize/32)^2) % Maximum possible flow (gpm) qmax=1714*PHP*e/Ppmax % Selection of two flow rates q1=qmax/3 % Flow rate 1 (gpm) q2=2*qmax/3 % Flow rate 2 (gpm) % q1=350; % Flow rate 1 (gpm) % q2=550; % Flow rate 2 (gpm) %% % Calculation of pump pressure corresponding to flow rate q1 % Average velocity of pipe, vbar_pipe (ft/sec) vbar_pipe1=q1/(2.448*(d^2)) % Average velocity of annulus, vbar_ann (ft/sec) vbar_ann1=q1/(2.448*((d2^2)-(d1^2)));
7/3/12 2:53 PM C:UserskukrejankitDesktopCoursestribologys...code2.m 2 of 13 % Turbulence criteria of pipe, NRe_pipe NRe_pipe1=(89100*rho*(vbar_pipe1^(2-n))/K)*((0.0416*d/(3+(1/n)))^n); % Turbulence criteria of annulus, NRe_ann NRe_ann1=(109000*rho*(vbar_ann1^(2-n))/K)*((0.0208*(d2-d1)/(2+(1/n)))^n); % Define critical Reynold number, ReC if n<=1 && n>=0.5 ReC1=2000; else if n<0.5 && n>=0.2 log_ReC1=((0.5-n)*(log10(2.1))/0.3)+log10(2000); ReC1=10^(log_ReC1); end end if NRe_pipe1<ReC1 % If flow is laminar, frictional pressure loss gradient of pipe Lam_Pgrad_pipe1=K*(vbar_pipe1^n)*(((3+(1/n))/0.0416)^n)/(144000*(d^(1+n))) % Pump pressure, Pp deltaPp1 = L*Lam_Pgrad_pipe1 end if NRe_ann1<ReC1 % If flow is laminar, frictional pressure loss gradient of annulus Lam_Pgrad_ann1=K*(vbar_ann1^n)*(((2+(1/n))/0.0208)^n)/(144000*((d2-d1)... ^(1+n))) end % Calculation of friction factor of pipe, f_pipe f_pipe1 = fsolve(@(f_pipe1)(sqrt(1/f_pipe1))-((4/(n^0.75))*log10... (NRe_pipe1*(f_pipe1^(1-(n/2)))))+(0.395/(n^1.2)),1) % Calculation of friction factor of annulus, f_ann f_ann1 = fsolve(@(f_ann1)(sqrt(1/f_ann1))-((4/(n^0.75))*log10... (NRe_ann1*(f_ann1^(1-(n/2)))))+(0.395/(n^1.2)),1) if NRe_pipe1>=ReC1 % If flow is turbulent, frictional pressure loss gradient of pipe Tur_Pgrad_pipe1=(f_pipe1*rho*(vbar_pipe1^2))/(25.8*d) % Pump pressure, Pp deltaPp1 = L*Tur_Pgrad_pipe1 end if NRe_ann1>=ReC1 % If flow is turbulent, frictional pressure loss gradient of annulus Tur_Pgrad_ann1=(f_ann1*rho*(vbar_ann1^2))/(21.1*(d2-d1)) end % Pressure loss at bit, deltaPb deltaPb1=8.311*(10^(-5))*rho*(q1^2)/((Cd^2)*(Aeff^2)) % %% % Calculation of pump pressure corresponding to flow rate q2 % Average velocity of pipe, vbar_pipe (ft/sec) vbar_pipe2=q2/(2.448*(d^2)) % Average velocity of annulus, vbar_ann (ft/sec) vbar_ann2=q2/(2.448*((d2^2)-(d1^2))) % Turbulence criteria of pipe, NRe_pipe NRe_pipe2=(89100*rho*(vbar_pipe2^(2-n))/K)*((0.0416*d/(3+(1/n)))^n) % Turbulence criteria of annulus, NRe_ann NRe_ann2=(109000*rho*(vbar_ann2^(2-n))/K)*((0.0208*(d2-d1)/(2+(1/n)))^n) % Define critical Reynold number, ReC
7/3/12 2:53 PM C:UserskukrejankitDesktopCoursestribologys...code2.m 3 of 13 if n<=1 && n>=0.5 ReC2=2000; else if n<0.5 && n>=0.2 log_ReC2=((0.5-n)*(log10(2.1))/0.3)+log10(2000); ReC2=10^(log_ReC2); end end if NRe_pipe2<ReC2 % If flow is laminar, frictional pressure loss gradient of pipe Lam_Pgrad_pipe2=K*(vbar_pipe2^n)*(((3+(1/n))/0.0416)^n)/(144000*(d^(1+n))) % Pump pressure, Pp deltaPp2 = L*Lam_Pgrad_pipe2 end if NRe_ann2<ReC2 % If flow is laminar, frictional pressure loss gradient of annulus Lam_Pgrad_ann2=K*(vbar_ann2^n)*(((2+(1/n))/0.0208)^n)/(144000*... ((d2-d1)^(1+n))) end % Calculation of friction factor of pipe, f_pipe f_pipe2 = fsolve(@(f_pipe2)(sqrt(1/f_pipe2))-((4/(n^0.75))*... log10(NRe_pipe2*(f_pipe2^(1-(n/2)))))+(0.395/(n^1.2)),1) % Calculation of friction factor of annulus, f_ann f_ann2 = fsolve(@(f_ann2)(sqrt(1/f_ann2))-((4/(n^0.75))*... log10(NRe_ann2*(f_ann2^(1-(n/2)))))+(0.395/(n^1.2)),1) if NRe_pipe2>=ReC2 % If flow is turbulent, frictional pressure loss gradient of pipe Tur_Pgrad_pipe2=(f_pipe2*rho*(vbar_pipe2^2))/(25.8*d) % Pump pressure, Pp deltaPp2 = L*Tur_Pgrad_pipe2 end if NRe_ann2>=ReC2 % If flow is turbulent, frictional pressure loss gradient of annulus Tur_Pgrad_ann2=(f_ann2*rho*(vbar_ann2^2))/(21.1*(d2-d1)) end % Pressure loss at bit, deltaPb deltaPb2=8.311*(10^(-5))*rho*(q2^2)/((Cd^2)*(Aeff^2)) % %% % Parasitic pressure loss deltaPd1=deltaPp1-deltaPb1 % Corresponding to flow rate q1 deltaPd2=deltaPp2-deltaPb2 % Corresponding to flow rate q2 % Slope of analysis plot m=(log10(deltaPd2/deltaPd1))/(log10(q2/q1)) %%%%%%%%%%%%%%%%% Path of optimum hydraulics %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% if choice==1 % For max jet impact force deltaPd_choice=(2/(m+2))*Ppmax end if choice==2 % For max bit hydraulic horsepower deltaPd_choice=(1/(m+1))*Ppmax end if choice==3
7/3/12 2:53 PM C:UserskukrejankitDesktopCoursestribologys...code2.m 4 of 13 % For max jet velocity deltaPd_choice=100 end % Path definition for qline=50:0.1:qmax deltaPdline=10^(log10(deltaPd1)+m*log10(qline/q1)); plot(log10(qline),log10(deltaPdline)) hold on if deltaPdline<=deltaPd_choice plot(log10(qmax),log10(deltaPdline),'r') hold on end if deltaPdline>=deltaPd_choice plot(log10(qmin),log10(deltaPdline),'r') hold on end if qline<=qmax && qline>=qmin plot(log10(qline),log10(deltaPd_choice),'r') hold on end plot(log10(qmin+1),log10(deltaPdline),'g') hold on for i=log10(100):0.1:log10(deltaPd_choice) if log10(deltaPdline)<=log10(i+1) && log10(deltaPdline)... >=log10(i-1) && log10(qline)<=log10(qmax+1) && ... log10(qline)>=log10(qmax-1) deltaPdopt=i; qopt=qline; end end if log10(deltaPdline)<=log10(deltaPd_choice+1) && ... log10(deltaPdline)>=log10(deltaPd_choice-1) && ... log10(qline)<log10(qmax) && log10(qline)>log10(qmin) deltaPdopt=deltaPd_choice; qopt=qline; end for k=log10(deltaPd_choice+1):0.1:log10(Ppmax) if log10(deltaPdline)<=k+1 && log10(deltaPdline)>=k-1 && ... log10(qline)<=log10(qmin+1) && log10(qline)>=log10(qmin-1) deltaPdopt=k; qopt=qline; end end end xlabel('Flow Rate (gpm)') ylabel('Parasitic Pressure Loss(psi)') grid on title('Well dynamics (in blue) and optimum hydraulic path(in red and green)') %% % Calculation of pump pressure corresponding to flow rate qopt % Average velocity of pipe, vbar_pipe (ft/sec) vbar_pipeopt=qopt/(2.448*(d^2)); % Average velocity of annulus, vbar_ann (ft/sec)
7/3/12 2:53 PM C:UserskukrejankitDesktopCoursestribologys...code2.m 5 of 13 vbar_annopt=qopt/(2.448*((d2^2)-(d1^2))); % Turbulence criteria of pipe, NRe_pipe NRe_pipeopt=(89100*rho*(vbar_pipeopt^(2-n))/K)*((0.0416*d/(3+(1/n)))^n) % Turbulence criteria of annulus, NRe_ann NRe_annopt=(109000*rho*(vbar_annopt^(2-n))/K)*((0.0208*(d2-d1)... /(2+(1/n)))^n) % Define critical Reynold number, ReC if n<=1 && n>=0.5 ReCopt=2000; else if n<0.5 && n>=0.2 log_ReCopt=((0.5-n)*(log10(2.1))/0.3)+log10(2000); ReCopt=10^(log_ReCopt); end end if NRe_pipeopt<ReCopt % If flow is laminar, frictional pressure loss gradient of pipe Lam_Pgrad_pipeopt=K*(vbar_pipeopt^n)*(((3+(1/n))/0.0416)^n)... /(144000*(d^(1+n))) % Pump pressure, Pp deltaPpopt = L*Lam_Pgrad_pipeopt end if NRe_annopt<ReCopt % If flow is laminar, frictional pressure loss gradient of annulus Lam_Pgrad_annopt=K*(vbar_annopt^n)*(((2+(1/n))/0.0208)^n)/... (144000*((d2-d1)^(1+n))) end % Calculation of friction factor of pipe, f_pipe f_pipeopt = fsolve(@(f_pipeopt)(sqrt(1/f_pipeopt))-((4/(n^0.75))*... log10(NRe_pipeopt*(f_pipeopt^(1-(n/2)))))+(0.395/(n^1.2)),1) % Calculation of friction factor of annulus, f_ann f_annopt = fsolve(@(f_annopt)(sqrt(1/f_annopt))-((4/(n^0.75))*... log10(NRe_annopt*(f_annopt^(1-(n/2)))))+(0.395/(n^1.2)),1) if NRe_pipeopt>=ReCopt % If flow is turbulent, frictional pressure loss gradient of pipe Tur_Pgrad_pipeopt=(f_pipeopt*rho*(vbar_pipeopt^2))/(25.8*d) % Pump pressure, Pp deltaPpopt = L*Tur_Pgrad_pipeopt end if NRe_annopt>=ReCopt % If flow is turbulent, frictional pressure loss gradient of annulus Tur_Pgrad_annopt=(f_annopt*rho*(vbar_annopt^2))/(21.1*(d2-d1)) end % Optimum bit pressure loss deltaPbopt=deltaPpopt-deltaPdopt % Proper total nozzle area Aeffopt=sqrt(8.311*(10^-5)*rho*(qopt^2)/((Cd^2)*deltaPbopt)) % Surge/Swab Pressure calculation starts from here % surgecp = surge with closed pipe % surgeop = surge with open pipe % K for closed pipe is tuned to value:
7/3/12 2:53 PM C:UserskukrejankitDesktopCoursestribologys...code2.m 6 of 13 K_cp=1.527; % Is the pipe is moving up or down? % Down - 1 % Up - 2 direction=2; vp=1/3; % Tripping speed (ft/s) if direction==1 disp('Calculating surge pressure for closed pipe..') % For closed pipe q_surgecp=vp*pi*(d1^2)/4; % Average velocity of pipe, vbar_pipe (ft/sec) vbar_pipe_surgecp=0; % Average velocity of annulus, vbar_ann (ft/sec) vbar_ann_surgecp=q_surgecp/(2.448*((d2^2)-(d1^2)))+(K_cp*vp); % Turbulence criteria of pipe, NRe_pipe NRe_pipe_surgecp=(89100*rho*(vbar_pipe_surgecp^(2-n))/K)... *((0.0416*d/(3+(1/n)))^n) % Turbulence criteria of annulus, NRe_ann NRe_ann_surgecp=(109000*rho*(vbar_ann_surgecp^(2-n))/K)*((0.0208*(d2-d1)... /(2+(1/n)))^n) % Define critical Reynold number, ReC if n<=1 && n>=0.5 ReC_surgecp=2000; else if n<0.5 && n>=0.2 log_ReC_surgecp=((0.5-n)*(log10(2.1))/0.3)+log10(2000); ReC_surgecp=10^(log_ReC_surgecp); end end if NRe_pipe_surgecp<ReC_surgecp % If flow is laminar, frictional pressure loss gradient of pipe Lam_Pgrad_pipe_surgecp=K*(vbar_pipe_surgecp^n)*(((3+(1/n))/0.0416)^n)... /(144000*(d^(1+n))); % Pump pressure, Pp deltaPp_surgecp = L*Lam_Pgrad_pipe_surgecp end if NRe_ann_surgecp<ReC_surgecp % If flow is laminar, frictional pressure loss gradient of annulus Lam_Pgrad_ann_surgecp=K*(vbar_ann_surgecp^n)*(((2+(1/n))/0.0208)^n)/... (144000*((d2-d1)^(1+n))); % Annular pressure, Pa deltaPa_surgecp = L*Lam_Pgrad_ann_surgecp end % Calculation of friction factor of pipe, f_pipe f_pipe_surgecp = fsolve(@(f_pipe_surgecp)(sqrt(1/f_pipe_surgecp))... -((4/(n^0.75))*log10(NRe_pipe_surgecp*(f_pipe_surgecp^... (1-(n/2)))))+(0.395/(n^1.2)),1); % Calculation of friction factor of annulus, f_ann f_ann_surgecp = fsolve(@(f_ann_surgecp)(sqrt(1/f_ann_surgecp))-((4/(n^0.75))*... log10(NRe_ann_surgecp*(f_ann_surgecp^(1-(n/2)))))+(0.395/(n^1.2)),1);
7/3/12 2:53 PM C:UserskukrejankitDesktopCoursestribologys...code2.m 7 of 13 if NRe_pipe_surgecp>=ReC_surgecp % If flow is turbulent, frictional pressure loss gradient of pipe Tur_Pgrad_pipe_surgecp=(f_pipe_surgecp*rho*(vbar_pipe_surgecp^2))/(25.8*d); % Pump pressure, Pp deltaPp_surgecp = L*Tur_Pgrad_pipe_surgecp end if NRe_ann_surgecp>=ReC_surgecp % If flow is turbulent, frictional pressure loss gradient of annulus Tur_Pgrad_ann_surgecp=(f_ann_surgecp*rho*(vbar_ann_surgecp^2))/(21.1*(d2-d1)); % Annular pressure, Pa deltaPa_surgecp = L*Tur_Pgrad_ann_surgecp end disp('Calculating Equivalent Mud Weight for closed pipe..') rho_c=rho+(231/(12*deltaPa_surgecp)) disp('Calculating surge pressure for open pipe..') % For open pipe K_op=1.2; for fa=0:0.01:1 qa_surgeop=fa*vp*((pi*(d1^2)/4)-Aeffopt); qp_surgeop=(1-fa)*vp*((pi*(d1^2)/4)-Aeffopt); % Average velocity of pipe, vbar_pipe (ft/sec) vbar_pipe_surgeop=qp_surgeop/(2.448*(d^2))+(K_op*vp); % Average velocity of annulus, vbar_ann (ft/sec) vbar_ann_surgeop=qa_surgeop/(2.448*((d2^2)-(d1^2)))+(K_op*vp); % Turbulence criteria of pipe, NRe_pipe NRe_pipe_surgeop=(89100*rho*(vbar_pipe_surgeop^(2-n))/K)*... ((0.0416*d/(3+(1/n)))^n); % Turbulence criteria of annulus, NRe_ann NRe_ann_surgeop=(109000*rho*(vbar_ann_surgeop^(2-n))/K)*((0.0208*(d2-d1)... /(2+(1/n)))^n); % Define critical Reynold number, ReC if n<=1 && n>=0.5 ReC_surgeop=2000; else if n<0.5 && n>=0.2 log_ReC_surgeop=((0.5-n)*(log10(2.1))/0.3)+log10(2000); ReC_surgeop=10^(log_ReC_surgeop); end end if NRe_pipe_surgeop<ReC_surgeop % If flow is laminar, frictional pressure loss gradient of pipe Lam_Pgrad_pipe_surgeop=K*(vbar_pipe_surgeop^n)*(((3+(1/n))/0.0416)^n)... /(144000*(d^(1+n))); % Pump pressure, Pp deltaPp_surgeop = L*Lam_Pgrad_pipe_surgeop; end if NRe_ann_surgeop<ReC_surgeop % If flow is laminar, frictional pressure loss gradient of annulus Lam_Pgrad_ann_surgeop=K*(vbar_ann_surgeop^n)*(((2+(1/n))/0.0208)^n)/...
7/3/12 2:53 PM C:UserskukrejankitDesktopCoursestribologys...code2.m 8 of 13 (144000*((d2-d1)^(1+n))); % Annular pressure, Pa deltaPa_surgeop = L*Lam_Pgrad_ann_surgeop; end % Calculation of friction factor of pipe, f_pipe f_pipe_surgeop = fsolve(@(f_pipe_surgeop)(sqrt(1/f_pipe_surgeop))-... ((4/(n^0.75))*log10(NRe_pipe_surgeop*(f_pipe_surgeop^... (1-(n/2)))))+(0.395/(n^1.2)),1); % Calculation of friction factor of annulus, f_ann f_ann_surgeop = fsolve(@(f_ann_surgeop)(sqrt(1/f_ann_surgeop))... -((4/(n^0.75))*log10(NRe_ann_surgeop*(f_ann_surgeop^(1-(n/2)))))... +(0.395/(n^1.2)),1); if NRe_pipe_surgeop>=ReC_surgeop % If flow is turbulent, frictional pressure loss gradient of pipe Tur_Pgrad_pipe_surgeop=(f_pipe_surgeop*rho*(vbar_pipe_surgeop^2))/(25.8*d); % Pump pressure, Pp deltaPp_surgeop = L*Tur_Pgrad_pipe_surgeop; end if NRe_ann_surgeop>=ReC_surgeop % If flow is turbulent, frictional pressure loss gradient of annulus Tur_Pgrad_ann_surgeop=(f_ann_surgeop*rho*(vbar_ann_surgeop^2))/(21.1*(d2-d1)); % Annular pressure, Pa deltaPa_surgeop = L*Tur_Pgrad_ann_surgeop; end if deltaPa_surgeop - deltaPp_surgeop <1 fa_final=fa; end end qa_surgeop=fa_final*vp*((pi*(d1^2)/4)-Aeffopt); qp_surgeop=(1-fa_final)*vp*((pi*(d1^2)/4)-Aeffopt); % Average velocity of pipe, vbar_pipe (ft/sec) vbar_pipe_surgeop=qp_surgeop/(2.448*(d^2))+(K_op*vp); % Average velocity of annulus, vbar_ann (ft/sec) vbar_ann_surgeop=qa_surgeop/(2.448*((d2^2)-(d1^2)))+(K_op*vp); % Turbulence criteria of pipe, NRe_pipe NRe_pipe_surgeop=(89100*rho*(vbar_pipe_surgeop^(2-n))/K)*... ((0.0416*d/(3+(1/n)))^n); % Turbulence criteria of annulus, NRe_ann NRe_ann_surgeop=(109000*rho*(vbar_ann_surgeop^(2-n))/K)*((0.0208*(d2-d1)... /(2+(1/n)))^n); % Define critical Reynold number, ReC if n<=1 && n>=0.5 ReC_surgeop=2000; else if n<0.5 && n>=0.2 log_ReC_surgeop=((0.5-n)*(log10(2.1))/0.3)+log10(2000); ReC_surgeop=10^(log_ReC_surgeop); end end
7/3/12 2:53 PM C:UserskukrejankitDesktopCoursestribologys...code2.m 9 of 13 if NRe_pipe_surgeop<ReC_surgeop % If flow is laminar, frictional pressure loss gradient of pipe Lam_Pgrad_pipe_surgeop=K*(vbar_pipe_surgeop^n)*(((3+(1/n))/0.0416)^n)... /(144000*(d^(1+n))); % Pump pressure, Pp deltaPp_surgeop = L*Lam_Pgrad_pipe_surgeop end if NRe_ann_surgeop<ReC_surgeop % If flow is laminar, frictional pressure loss gradient of annulus Lam_Pgrad_ann_surgeop=K*(vbar_ann_surgeop^n)*(((2+(1/n))/0.0208)^n)/... (144000*((d2-d1)^(1+n))); % Annular pressure, Pa deltaPa_surgeop = L*Lam_Pgrad_ann_surgeop end % Calculation of friction factor of pipe, f_pipe f_pipe_surgeop = fsolve(@(f_pipe_surgeop)(sqrt(1/f_pipe_surgeop))-... ((4/(n^0.75))*log10(NRe_pipe_surgeop*(f_pipe_surgeop^... (1-(n/2)))))+(0.395/(n^1.2)),1); % Calculation of friction factor of annulus, f_ann f_ann_surgeop = fsolve(@(f_ann_surgeop)(sqrt(1/f_ann_surgeop))... -((4/(n^0.75))*log10(NRe_ann_surgeop*(f_ann_surgeop^... (1-(n/2)))))+(0.395/(n^1.2)),1); if NRe_pipe_surgeop>=ReC_surgeop % If flow is turbulent, frictional pressure loss gradient of pipe Tur_Pgrad_pipe_surgeop=(f_pipe_surgeop*rho*(vbar_pipe_surgeop^2))/(25.8*d); % Pump pressure, Pp deltaPp_surgeop = L*Tur_Pgrad_pipe_surgeop end if NRe_ann_surgeop>=ReC_surgeop % If flow is turbulent, frictional pressure loss gradient of annulus Tur_Pgrad_ann_surgeop=(f_ann_surgeop*rho*(vbar_ann_surgeop^2))/(21.1*(d2-d1)); % Annular pressure, Pa deltaPa_surgeop = L*Tur_Pgrad_ann_surgeop end disp('Calculating Equivalent Mud Weight for open pipe..') rho_o=rho+(231/(12*deltaPa_surgeop)) end if direction==2 disp('Calculating swab pressure for closed pipe..') % For closed pipe q_surgecp=vp*pi*(d1^2)/4; % Average velocity of pipe, vbar_pipe (ft/sec) vbar_pipe_surgecp=0; % Average velocity of annulus, vbar_ann (ft/sec) vbar_ann_surgecp=q_surgecp/(2.448*((d2^2)-(d1^2)))+(K_cp*vp); % Turbulence criteria of pipe, NRe_pipe NRe_pipe_surgecp=(89100*rho*(vbar_pipe_surgecp^(2-n))/K)*...
7/3/12 2:53 PM C:UserskukrejankitDesktopCoursestribologys...code2.m 10 of 13 ((0.0416*d/(3+(1/n)))^n); % Turbulence criteria of annulus, NRe_ann NRe_ann_surgecp=(109000*rho*(vbar_ann_surgecp^(2-n))/K)*((0.0208*(d2-d1)... /(2+(1/n)))^n); % Define critical Reynold number, ReC if n<=1 && n>=0.5 ReC_surgecp=2000; else if n<0.5 && n>=0.2 log_ReC_surgecp=((0.5-n)*(log10(2.1))/0.3)+log10(2000); ReC_surgecp=10^(log_ReC_surgecp); end end if NRe_pipe_surgecp<ReC_surgecp % If flow is laminar, frictional pressure loss gradient of pipe Lam_Pgrad_pipe_surgecp=K*(vbar_pipe_surgecp^n)*(((3+(1/n))/0.0416)^n)... /(144000*(d^(1+n))); % Pump pressure, Pp deltaPp_surgecp = L*Lam_Pgrad_pipe_surgecp end if NRe_ann_surgecp<ReC_surgecp % If flow is laminar, frictional pressure loss gradient of annulus Lam_Pgrad_ann_surgecp=K*(vbar_ann_surgecp^n)*(((2+(1/n))/0.0208)^n)/... (144000*((d2-d1)^(1+n))); % Annular pressure, Pa deltaPa_surgecp = L*Lam_Pgrad_ann_surgecp end % Calculation of friction factor of pipe, f_pipe f_pipe_surgecp = fsolve(@(f_pipe_surgecp)(sqrt(1/f_pipe_surgecp))-... ((4/(n^0.75))*log10(NRe_pipe_surgecp*(f_pipe_surgecp^... (1-(n/2)))))+(0.395/(n^1.2)),1); % Calculation of friction factor of annulus, f_ann f_ann_surgecp = fsolve(@(f_ann_surgecp)(sqrt(1/f_ann_surgecp))-((4/(n^0.75))*... log10(NRe_ann_surgecp*(f_ann_surgecp^(1-(n/2)))))+(0.395/(n^1.2)),1); if NRe_pipe_surgecp>=ReC_surgecp % If flow is turbulent, frictional pressure loss gradient of pipe Tur_Pgrad_pipe_surgecp=(f_pipe_surgecp*rho*(vbar_pipe_surgecp^2))/(25.8*d); % Pump pressure, Pp deltaPp_surgecp = L*Tur_Pgrad_pipe_surgecp end if NRe_ann_surgecp>=ReC_surgecp % If flow is turbulent, frictional pressure loss gradient of annulus Tur_Pgrad_ann_surgecp=(f_ann_surgecp*rho*(vbar_ann_surgecp^2))... /(21.1*(d2-d1)); % Annular pressure, Pa deltaPa_surgecp = L*Tur_Pgrad_ann_surgecp end disp('Calculating Equivalent Mud Weight for closed pipe..') rho_c=rho-(231/(12*deltaPa_surgecp)) disp('Calculating swab pressure for open pipe..') % For open pipe K_op1=1.2; K_op2=1.2; for fa=0:0.01:1
7/3/12 2:53 PM C:UserskukrejankitDesktopCoursestribologys...code2.m 11 of 13 qa_surgeop=fa*vp*((pi*(d1^2)/4)-Aeffopt); qp_surgeop=(1-fa)*vp*((pi*(d1^2)/4)-Aeffopt); % Average velocity of pipe, vbar_pipe (ft/sec) vbar_pipe_surgeop=qp_surgeop/(2.448*(d^2))+(K_op1*vp); % Average velocity of annulus, vbar_ann (ft/sec) vbar_ann_surgeop=qa_surgeop/(2.448*((d2^2)-(d1^2)))+(K_op2*vp); % Turbulence criteria of pipe, NRe_pipe NRe_pipe_surgeop=(89100*rho*(vbar_pipe_surgeop^(2-n))/K)*((0.0416*d... /(3+(1/n)))^n); % Turbulence criteria of annulus, NRe_ann NRe_ann_surgeop=(109000*rho*(vbar_ann_surgeop^(2-n))/K)*((0.0208*(d2-d1)... /(2+(1/n)))^n); % Define critical Reynold number, ReC if n<=1 && n>=0.5 ReC_surgeop=2000; else if n<0.5 && n>=0.2 log_ReC_surgeop=((0.5-n)*(log10(2.1))/0.3)+log10(2000); ReC_surgeop=10^(log_ReC_surgeop); end end if NRe_pipe_surgeop<ReC_surgeop % If flow is laminar, frictional pressure loss gradient of pipe Lam_Pgrad_pipe_surgeop=K*(vbar_pipe_surgeop^n)*(((3+(1/n))/0.0416)^n)... /(144000*(d^(1+n))); % Pump pressure, Pp deltaPp_surgeop = L*Lam_Pgrad_pipe_surgeop; end if NRe_ann_surgeop<ReC_surgeop % If flow is laminar, frictional pressure loss gradient of annulus Lam_Pgrad_ann_surgeop=K*(vbar_ann_surgeop^n)*(((2+(1/n))/0.0208)^n)/... (144000*((d2-d1)^(1+n))); % Annular pressure, Pa deltaPa_surgeop = L*Lam_Pgrad_ann_surgeop; end % Calculation of friction factor of pipe, f_pipe f_pipe_surgeop = fsolve(@(f_pipe_surgeop)(sqrt(1/f_pipe_surgeop))-... ((4/(n^0.75))*log10(NRe_pipe_surgeop*(f_pipe_surgeop^... (1-(n/2)))))+(0.395/(n^1.2)),1); % Calculation of friction factor of annulus, f_ann f_ann_surgeop = fsolve(@(f_ann_surgeop)(sqrt(1/f_ann_surgeop))-... ((4/(n^0.75))*log10(NRe_ann_surgeop*(f_ann_surgeop^... (1-(n/2)))))+(0.395/(n^1.2)),1); if NRe_pipe_surgeop>=ReC_surgeop % If flow is turbulent, frictional pressure loss gradient of pipe Tur_Pgrad_pipe_surgeop=(f_pipe_surgeop*rho*(vbar_pipe_surgeop^2))/(25.8*d); % Pump pressure, Pp deltaPp_surgeop = L*Tur_Pgrad_pipe_surgeop; end if NRe_ann_surgeop>=ReC_surgeop
7/3/12 2:53 PM C:UserskukrejankitDesktopCoursestribologys...code2.m 12 of 13 % If flow is turbulent, frictional pressure loss gradient of annulus Tur_Pgrad_ann_surgeop=(f_ann_surgeop*rho*(vbar_ann_surgeop^2))/(21.1*(d2-d1)); % Annular pressure, Pa deltaPa_surgeop = L*Tur_Pgrad_ann_surgeop; end if deltaPa_surgeop - deltaPp_surgeop <1 fa_final=fa; end end qa_surgeop=fa_final*vp*((pi*(d1^2)/4)-Aeffopt); qp_surgeop=(1-fa_final)*vp*((pi*(d1^2)/4)-Aeffopt); % Average velocity of pipe, vbar_pipe (ft/sec) vbar_pipe_surgeop=qp_surgeop/(2.448*(d^2))+(K_op1*vp); % Average velocity of annulus, vbar_ann (ft/sec) vbar_ann_surgeop=qa_surgeop/(2.448*((d2^2)-(d1^2)))+(K_op2*vp); % Turbulence criteria of pipe, NRe_pipe NRe_pipe_surgeop=(89100*rho*(vbar_pipe_surgeop^(2-n))/K)*((0.0416*d/... (3+(1/n)))^n); % Turbulence criteria of annulus, NRe_ann NRe_ann_surgeop=(109000*rho*(vbar_ann_surgeop^(2-n))/K)*((0.0208*(d2-d1)... /(2+(1/n)))^n); % Define critical Reynold number, ReC if n<=1 && n>=0.5 ReC_surgeop=2000; else if n<0.5 && n>=0.2 log_ReC_surgeop=((0.5-n)*(log10(2.1))/0.3)+log10(2000); ReC_surgeop=10^(log_ReC_surgeop); end end if NRe_pipe_surgeop<ReC_surgeop % If flow is laminar, frictional pressure loss gradient of pipe Lam_Pgrad_pipe_surgeop=K*(vbar_pipe_surgeop^n)*(((3+(1/n))/0.0416)^n)... /(144000*(d^(1+n))); % Pump pressure, Pp deltaPp_surgeop = L*Lam_Pgrad_pipe_surgeop end if NRe_ann_surgeop<ReC_surgeop % If flow is laminar, frictional pressure loss gradient of annulus Lam_Pgrad_ann_surgeop=K*(vbar_ann_surgeop^n)*(((2+(1/n))/0.0208)^n)/... (144000*((d2-d1)^(1+n))); % Annular pressure, Pa deltaPa_surgeop = L*Lam_Pgrad_ann_surgeop end % Calculation of friction factor of pipe, f_pipe f_pipe_surgeop = fsolve(@(f_pipe_surgeop)(sqrt(1/f_pipe_surgeop))-... ((4/(n^0.75))*log10(NRe_pipe_surgeop*(f_pipe_surgeop^(1-(n/2)))))... +(0.395/(n^1.2)),1); % Calculation of friction factor of annulus, f_ann f_ann_surgeop = fsolve(@(f_ann_surgeop)(sqrt(1/f_ann_surgeop))-... ((4/(n^0.75))*log10(NRe_ann_surgeop*(f_ann_surgeop^(1-(n/2)))))... +(0.395/(n^1.2)),1);
7/3/12 2:53 PM C:UserskukrejankitDesktopCoursestribologys...code2.m 13 of 13 if NRe_pipe_surgeop>=ReC_surgeop % If flow is turbulent, frictional pressure loss gradient of pipe Tur_Pgrad_pipe_surgeop=(f_pipe_surgeop*rho*(vbar_pipe_surgeop^2))/(25.8*d); % Pump pressure, Pp deltaPp_surgeop = L*Tur_Pgrad_pipe_surgeop end if NRe_ann_surgeop>=ReC_surgeop % If flow is turbulent, frictional pressure loss gradient of annulus Tur_Pgrad_ann_surgeop=(f_ann_surgeop*rho*(vbar_ann_surgeop^2))/(21.1*(d2-d1)); % Annular pressure, Pa deltaPa_surgeop = L*Tur_Pgrad_ann_surgeop end disp('Calculating Equivalent Mud Weight for open pipe..') rho_o=rho-(231/(12*deltaPa_surgeop)) end % End of code

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Surge Swab pressure code

  • 1. 7/3/12 2:53 PM C:UserskukrejankitDesktopCoursestribologys...code2.m 1 of 13 % Surge/Swab Pressure Calculations Algorithm Version 1.0 % close all clear clc %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Developed by Ankit Kukreja (ankit.kukreja.89@gmail.com) % on July 3rd, 2012 % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% d=2.25; % Pipe ID (inch) d1=4; % Pipe OD (inch) d2=6.25; % Casing ID (inch) rho=9; % Fluid density (ppg) L= 10000; % Depth of well (ft) theta600=60.8; % Fann dial reading at 600 rpm theta300=37.4; % Fann dial reading at 300 rpm Cd=0.9697; % Discharge coefficient at nozzle Nsize=12; % Current nozzle size Nno=3; % Number of Nozzles currently in use qmin = 125; % Minimum flow rate (gpm) % Pump parameters Ppmax=3000; % Maximum achievable pump pressure PHP=1250; % Pump rating (Horsepower) e=0.91; % Pump efficiency % Enter the choice of criterion to choose % 1 - Maximum Jet impact force % 2 - Maximum drill bit hydraulic horsepower % 3 - Maximum jet velocity choice=1; % % Step 1 calculations % Flow behaviour parameter, n (dimensionless) n=3.32*log10(theta600/theta300) % Flow behaviour parameter, K (lbf/100 ft^2) K=510*theta300/(511^n) % Effective area through nozzle Aeff=(pi/4)*Nno*((Nsize/32)^2) % Maximum possible flow (gpm) qmax=1714*PHP*e/Ppmax % Selection of two flow rates q1=qmax/3 % Flow rate 1 (gpm) q2=2*qmax/3 % Flow rate 2 (gpm) % q1=350; % Flow rate 1 (gpm) % q2=550; % Flow rate 2 (gpm) %% % Calculation of pump pressure corresponding to flow rate q1 % Average velocity of pipe, vbar_pipe (ft/sec) vbar_pipe1=q1/(2.448*(d^2)) % Average velocity of annulus, vbar_ann (ft/sec) vbar_ann1=q1/(2.448*((d2^2)-(d1^2)));
  • 2. 7/3/12 2:53 PM C:UserskukrejankitDesktopCoursestribologys...code2.m 2 of 13 % Turbulence criteria of pipe, NRe_pipe NRe_pipe1=(89100*rho*(vbar_pipe1^(2-n))/K)*((0.0416*d/(3+(1/n)))^n); % Turbulence criteria of annulus, NRe_ann NRe_ann1=(109000*rho*(vbar_ann1^(2-n))/K)*((0.0208*(d2-d1)/(2+(1/n)))^n); % Define critical Reynold number, ReC if n<=1 && n>=0.5 ReC1=2000; else if n<0.5 && n>=0.2 log_ReC1=((0.5-n)*(log10(2.1))/0.3)+log10(2000); ReC1=10^(log_ReC1); end end if NRe_pipe1<ReC1 % If flow is laminar, frictional pressure loss gradient of pipe Lam_Pgrad_pipe1=K*(vbar_pipe1^n)*(((3+(1/n))/0.0416)^n)/(144000*(d^(1+n))) % Pump pressure, Pp deltaPp1 = L*Lam_Pgrad_pipe1 end if NRe_ann1<ReC1 % If flow is laminar, frictional pressure loss gradient of annulus Lam_Pgrad_ann1=K*(vbar_ann1^n)*(((2+(1/n))/0.0208)^n)/(144000*((d2-d1)... ^(1+n))) end % Calculation of friction factor of pipe, f_pipe f_pipe1 = fsolve(@(f_pipe1)(sqrt(1/f_pipe1))-((4/(n^0.75))*log10... (NRe_pipe1*(f_pipe1^(1-(n/2)))))+(0.395/(n^1.2)),1) % Calculation of friction factor of annulus, f_ann f_ann1 = fsolve(@(f_ann1)(sqrt(1/f_ann1))-((4/(n^0.75))*log10... (NRe_ann1*(f_ann1^(1-(n/2)))))+(0.395/(n^1.2)),1) if NRe_pipe1>=ReC1 % If flow is turbulent, frictional pressure loss gradient of pipe Tur_Pgrad_pipe1=(f_pipe1*rho*(vbar_pipe1^2))/(25.8*d) % Pump pressure, Pp deltaPp1 = L*Tur_Pgrad_pipe1 end if NRe_ann1>=ReC1 % If flow is turbulent, frictional pressure loss gradient of annulus Tur_Pgrad_ann1=(f_ann1*rho*(vbar_ann1^2))/(21.1*(d2-d1)) end % Pressure loss at bit, deltaPb deltaPb1=8.311*(10^(-5))*rho*(q1^2)/((Cd^2)*(Aeff^2)) % %% % Calculation of pump pressure corresponding to flow rate q2 % Average velocity of pipe, vbar_pipe (ft/sec) vbar_pipe2=q2/(2.448*(d^2)) % Average velocity of annulus, vbar_ann (ft/sec) vbar_ann2=q2/(2.448*((d2^2)-(d1^2))) % Turbulence criteria of pipe, NRe_pipe NRe_pipe2=(89100*rho*(vbar_pipe2^(2-n))/K)*((0.0416*d/(3+(1/n)))^n) % Turbulence criteria of annulus, NRe_ann NRe_ann2=(109000*rho*(vbar_ann2^(2-n))/K)*((0.0208*(d2-d1)/(2+(1/n)))^n) % Define critical Reynold number, ReC
  • 3. 7/3/12 2:53 PM C:UserskukrejankitDesktopCoursestribologys...code2.m 3 of 13 if n<=1 && n>=0.5 ReC2=2000; else if n<0.5 && n>=0.2 log_ReC2=((0.5-n)*(log10(2.1))/0.3)+log10(2000); ReC2=10^(log_ReC2); end end if NRe_pipe2<ReC2 % If flow is laminar, frictional pressure loss gradient of pipe Lam_Pgrad_pipe2=K*(vbar_pipe2^n)*(((3+(1/n))/0.0416)^n)/(144000*(d^(1+n))) % Pump pressure, Pp deltaPp2 = L*Lam_Pgrad_pipe2 end if NRe_ann2<ReC2 % If flow is laminar, frictional pressure loss gradient of annulus Lam_Pgrad_ann2=K*(vbar_ann2^n)*(((2+(1/n))/0.0208)^n)/(144000*... ((d2-d1)^(1+n))) end % Calculation of friction factor of pipe, f_pipe f_pipe2 = fsolve(@(f_pipe2)(sqrt(1/f_pipe2))-((4/(n^0.75))*... log10(NRe_pipe2*(f_pipe2^(1-(n/2)))))+(0.395/(n^1.2)),1) % Calculation of friction factor of annulus, f_ann f_ann2 = fsolve(@(f_ann2)(sqrt(1/f_ann2))-((4/(n^0.75))*... log10(NRe_ann2*(f_ann2^(1-(n/2)))))+(0.395/(n^1.2)),1) if NRe_pipe2>=ReC2 % If flow is turbulent, frictional pressure loss gradient of pipe Tur_Pgrad_pipe2=(f_pipe2*rho*(vbar_pipe2^2))/(25.8*d) % Pump pressure, Pp deltaPp2 = L*Tur_Pgrad_pipe2 end if NRe_ann2>=ReC2 % If flow is turbulent, frictional pressure loss gradient of annulus Tur_Pgrad_ann2=(f_ann2*rho*(vbar_ann2^2))/(21.1*(d2-d1)) end % Pressure loss at bit, deltaPb deltaPb2=8.311*(10^(-5))*rho*(q2^2)/((Cd^2)*(Aeff^2)) % %% % Parasitic pressure loss deltaPd1=deltaPp1-deltaPb1 % Corresponding to flow rate q1 deltaPd2=deltaPp2-deltaPb2 % Corresponding to flow rate q2 % Slope of analysis plot m=(log10(deltaPd2/deltaPd1))/(log10(q2/q1)) %%%%%%%%%%%%%%%%% Path of optimum hydraulics %%%%%%%%%%%%%%%%%%%%%%%%%%%%%% if choice==1 % For max jet impact force deltaPd_choice=(2/(m+2))*Ppmax end if choice==2 % For max bit hydraulic horsepower deltaPd_choice=(1/(m+1))*Ppmax end if choice==3
  • 4. 7/3/12 2:53 PM C:UserskukrejankitDesktopCoursestribologys...code2.m 4 of 13 % For max jet velocity deltaPd_choice=100 end % Path definition for qline=50:0.1:qmax deltaPdline=10^(log10(deltaPd1)+m*log10(qline/q1)); plot(log10(qline),log10(deltaPdline)) hold on if deltaPdline<=deltaPd_choice plot(log10(qmax),log10(deltaPdline),'r') hold on end if deltaPdline>=deltaPd_choice plot(log10(qmin),log10(deltaPdline),'r') hold on end if qline<=qmax && qline>=qmin plot(log10(qline),log10(deltaPd_choice),'r') hold on end plot(log10(qmin+1),log10(deltaPdline),'g') hold on for i=log10(100):0.1:log10(deltaPd_choice) if log10(deltaPdline)<=log10(i+1) && log10(deltaPdline)... >=log10(i-1) && log10(qline)<=log10(qmax+1) && ... log10(qline)>=log10(qmax-1) deltaPdopt=i; qopt=qline; end end if log10(deltaPdline)<=log10(deltaPd_choice+1) && ... log10(deltaPdline)>=log10(deltaPd_choice-1) && ... log10(qline)<log10(qmax) && log10(qline)>log10(qmin) deltaPdopt=deltaPd_choice; qopt=qline; end for k=log10(deltaPd_choice+1):0.1:log10(Ppmax) if log10(deltaPdline)<=k+1 && log10(deltaPdline)>=k-1 && ... log10(qline)<=log10(qmin+1) && log10(qline)>=log10(qmin-1) deltaPdopt=k; qopt=qline; end end end xlabel('Flow Rate (gpm)') ylabel('Parasitic Pressure Loss(psi)') grid on title('Well dynamics (in blue) and optimum hydraulic path(in red and green)') %% % Calculation of pump pressure corresponding to flow rate qopt % Average velocity of pipe, vbar_pipe (ft/sec) vbar_pipeopt=qopt/(2.448*(d^2)); % Average velocity of annulus, vbar_ann (ft/sec)
  • 5. 7/3/12 2:53 PM C:UserskukrejankitDesktopCoursestribologys...code2.m 5 of 13 vbar_annopt=qopt/(2.448*((d2^2)-(d1^2))); % Turbulence criteria of pipe, NRe_pipe NRe_pipeopt=(89100*rho*(vbar_pipeopt^(2-n))/K)*((0.0416*d/(3+(1/n)))^n) % Turbulence criteria of annulus, NRe_ann NRe_annopt=(109000*rho*(vbar_annopt^(2-n))/K)*((0.0208*(d2-d1)... /(2+(1/n)))^n) % Define critical Reynold number, ReC if n<=1 && n>=0.5 ReCopt=2000; else if n<0.5 && n>=0.2 log_ReCopt=((0.5-n)*(log10(2.1))/0.3)+log10(2000); ReCopt=10^(log_ReCopt); end end if NRe_pipeopt<ReCopt % If flow is laminar, frictional pressure loss gradient of pipe Lam_Pgrad_pipeopt=K*(vbar_pipeopt^n)*(((3+(1/n))/0.0416)^n)... /(144000*(d^(1+n))) % Pump pressure, Pp deltaPpopt = L*Lam_Pgrad_pipeopt end if NRe_annopt<ReCopt % If flow is laminar, frictional pressure loss gradient of annulus Lam_Pgrad_annopt=K*(vbar_annopt^n)*(((2+(1/n))/0.0208)^n)/... (144000*((d2-d1)^(1+n))) end % Calculation of friction factor of pipe, f_pipe f_pipeopt = fsolve(@(f_pipeopt)(sqrt(1/f_pipeopt))-((4/(n^0.75))*... log10(NRe_pipeopt*(f_pipeopt^(1-(n/2)))))+(0.395/(n^1.2)),1) % Calculation of friction factor of annulus, f_ann f_annopt = fsolve(@(f_annopt)(sqrt(1/f_annopt))-((4/(n^0.75))*... log10(NRe_annopt*(f_annopt^(1-(n/2)))))+(0.395/(n^1.2)),1) if NRe_pipeopt>=ReCopt % If flow is turbulent, frictional pressure loss gradient of pipe Tur_Pgrad_pipeopt=(f_pipeopt*rho*(vbar_pipeopt^2))/(25.8*d) % Pump pressure, Pp deltaPpopt = L*Tur_Pgrad_pipeopt end if NRe_annopt>=ReCopt % If flow is turbulent, frictional pressure loss gradient of annulus Tur_Pgrad_annopt=(f_annopt*rho*(vbar_annopt^2))/(21.1*(d2-d1)) end % Optimum bit pressure loss deltaPbopt=deltaPpopt-deltaPdopt % Proper total nozzle area Aeffopt=sqrt(8.311*(10^-5)*rho*(qopt^2)/((Cd^2)*deltaPbopt)) % Surge/Swab Pressure calculation starts from here % surgecp = surge with closed pipe % surgeop = surge with open pipe % K for closed pipe is tuned to value:
  • 6. 7/3/12 2:53 PM C:UserskukrejankitDesktopCoursestribologys...code2.m 6 of 13 K_cp=1.527; % Is the pipe is moving up or down? % Down - 1 % Up - 2 direction=2; vp=1/3; % Tripping speed (ft/s) if direction==1 disp('Calculating surge pressure for closed pipe..') % For closed pipe q_surgecp=vp*pi*(d1^2)/4; % Average velocity of pipe, vbar_pipe (ft/sec) vbar_pipe_surgecp=0; % Average velocity of annulus, vbar_ann (ft/sec) vbar_ann_surgecp=q_surgecp/(2.448*((d2^2)-(d1^2)))+(K_cp*vp); % Turbulence criteria of pipe, NRe_pipe NRe_pipe_surgecp=(89100*rho*(vbar_pipe_surgecp^(2-n))/K)... *((0.0416*d/(3+(1/n)))^n) % Turbulence criteria of annulus, NRe_ann NRe_ann_surgecp=(109000*rho*(vbar_ann_surgecp^(2-n))/K)*((0.0208*(d2-d1)... /(2+(1/n)))^n) % Define critical Reynold number, ReC if n<=1 && n>=0.5 ReC_surgecp=2000; else if n<0.5 && n>=0.2 log_ReC_surgecp=((0.5-n)*(log10(2.1))/0.3)+log10(2000); ReC_surgecp=10^(log_ReC_surgecp); end end if NRe_pipe_surgecp<ReC_surgecp % If flow is laminar, frictional pressure loss gradient of pipe Lam_Pgrad_pipe_surgecp=K*(vbar_pipe_surgecp^n)*(((3+(1/n))/0.0416)^n)... /(144000*(d^(1+n))); % Pump pressure, Pp deltaPp_surgecp = L*Lam_Pgrad_pipe_surgecp end if NRe_ann_surgecp<ReC_surgecp % If flow is laminar, frictional pressure loss gradient of annulus Lam_Pgrad_ann_surgecp=K*(vbar_ann_surgecp^n)*(((2+(1/n))/0.0208)^n)/... (144000*((d2-d1)^(1+n))); % Annular pressure, Pa deltaPa_surgecp = L*Lam_Pgrad_ann_surgecp end % Calculation of friction factor of pipe, f_pipe f_pipe_surgecp = fsolve(@(f_pipe_surgecp)(sqrt(1/f_pipe_surgecp))... -((4/(n^0.75))*log10(NRe_pipe_surgecp*(f_pipe_surgecp^... (1-(n/2)))))+(0.395/(n^1.2)),1); % Calculation of friction factor of annulus, f_ann f_ann_surgecp = fsolve(@(f_ann_surgecp)(sqrt(1/f_ann_surgecp))-((4/(n^0.75))*... log10(NRe_ann_surgecp*(f_ann_surgecp^(1-(n/2)))))+(0.395/(n^1.2)),1);
  • 7. 7/3/12 2:53 PM C:UserskukrejankitDesktopCoursestribologys...code2.m 7 of 13 if NRe_pipe_surgecp>=ReC_surgecp % If flow is turbulent, frictional pressure loss gradient of pipe Tur_Pgrad_pipe_surgecp=(f_pipe_surgecp*rho*(vbar_pipe_surgecp^2))/(25.8*d); % Pump pressure, Pp deltaPp_surgecp = L*Tur_Pgrad_pipe_surgecp end if NRe_ann_surgecp>=ReC_surgecp % If flow is turbulent, frictional pressure loss gradient of annulus Tur_Pgrad_ann_surgecp=(f_ann_surgecp*rho*(vbar_ann_surgecp^2))/(21.1*(d2-d1)); % Annular pressure, Pa deltaPa_surgecp = L*Tur_Pgrad_ann_surgecp end disp('Calculating Equivalent Mud Weight for closed pipe..') rho_c=rho+(231/(12*deltaPa_surgecp)) disp('Calculating surge pressure for open pipe..') % For open pipe K_op=1.2; for fa=0:0.01:1 qa_surgeop=fa*vp*((pi*(d1^2)/4)-Aeffopt); qp_surgeop=(1-fa)*vp*((pi*(d1^2)/4)-Aeffopt); % Average velocity of pipe, vbar_pipe (ft/sec) vbar_pipe_surgeop=qp_surgeop/(2.448*(d^2))+(K_op*vp); % Average velocity of annulus, vbar_ann (ft/sec) vbar_ann_surgeop=qa_surgeop/(2.448*((d2^2)-(d1^2)))+(K_op*vp); % Turbulence criteria of pipe, NRe_pipe NRe_pipe_surgeop=(89100*rho*(vbar_pipe_surgeop^(2-n))/K)*... ((0.0416*d/(3+(1/n)))^n); % Turbulence criteria of annulus, NRe_ann NRe_ann_surgeop=(109000*rho*(vbar_ann_surgeop^(2-n))/K)*((0.0208*(d2-d1)... /(2+(1/n)))^n); % Define critical Reynold number, ReC if n<=1 && n>=0.5 ReC_surgeop=2000; else if n<0.5 && n>=0.2 log_ReC_surgeop=((0.5-n)*(log10(2.1))/0.3)+log10(2000); ReC_surgeop=10^(log_ReC_surgeop); end end if NRe_pipe_surgeop<ReC_surgeop % If flow is laminar, frictional pressure loss gradient of pipe Lam_Pgrad_pipe_surgeop=K*(vbar_pipe_surgeop^n)*(((3+(1/n))/0.0416)^n)... /(144000*(d^(1+n))); % Pump pressure, Pp deltaPp_surgeop = L*Lam_Pgrad_pipe_surgeop; end if NRe_ann_surgeop<ReC_surgeop % If flow is laminar, frictional pressure loss gradient of annulus Lam_Pgrad_ann_surgeop=K*(vbar_ann_surgeop^n)*(((2+(1/n))/0.0208)^n)/...
  • 8. 7/3/12 2:53 PM C:UserskukrejankitDesktopCoursestribologys...code2.m 8 of 13 (144000*((d2-d1)^(1+n))); % Annular pressure, Pa deltaPa_surgeop = L*Lam_Pgrad_ann_surgeop; end % Calculation of friction factor of pipe, f_pipe f_pipe_surgeop = fsolve(@(f_pipe_surgeop)(sqrt(1/f_pipe_surgeop))-... ((4/(n^0.75))*log10(NRe_pipe_surgeop*(f_pipe_surgeop^... (1-(n/2)))))+(0.395/(n^1.2)),1); % Calculation of friction factor of annulus, f_ann f_ann_surgeop = fsolve(@(f_ann_surgeop)(sqrt(1/f_ann_surgeop))... -((4/(n^0.75))*log10(NRe_ann_surgeop*(f_ann_surgeop^(1-(n/2)))))... +(0.395/(n^1.2)),1); if NRe_pipe_surgeop>=ReC_surgeop % If flow is turbulent, frictional pressure loss gradient of pipe Tur_Pgrad_pipe_surgeop=(f_pipe_surgeop*rho*(vbar_pipe_surgeop^2))/(25.8*d); % Pump pressure, Pp deltaPp_surgeop = L*Tur_Pgrad_pipe_surgeop; end if NRe_ann_surgeop>=ReC_surgeop % If flow is turbulent, frictional pressure loss gradient of annulus Tur_Pgrad_ann_surgeop=(f_ann_surgeop*rho*(vbar_ann_surgeop^2))/(21.1*(d2-d1)); % Annular pressure, Pa deltaPa_surgeop = L*Tur_Pgrad_ann_surgeop; end if deltaPa_surgeop - deltaPp_surgeop <1 fa_final=fa; end end qa_surgeop=fa_final*vp*((pi*(d1^2)/4)-Aeffopt); qp_surgeop=(1-fa_final)*vp*((pi*(d1^2)/4)-Aeffopt); % Average velocity of pipe, vbar_pipe (ft/sec) vbar_pipe_surgeop=qp_surgeop/(2.448*(d^2))+(K_op*vp); % Average velocity of annulus, vbar_ann (ft/sec) vbar_ann_surgeop=qa_surgeop/(2.448*((d2^2)-(d1^2)))+(K_op*vp); % Turbulence criteria of pipe, NRe_pipe NRe_pipe_surgeop=(89100*rho*(vbar_pipe_surgeop^(2-n))/K)*... ((0.0416*d/(3+(1/n)))^n); % Turbulence criteria of annulus, NRe_ann NRe_ann_surgeop=(109000*rho*(vbar_ann_surgeop^(2-n))/K)*((0.0208*(d2-d1)... /(2+(1/n)))^n); % Define critical Reynold number, ReC if n<=1 && n>=0.5 ReC_surgeop=2000; else if n<0.5 && n>=0.2 log_ReC_surgeop=((0.5-n)*(log10(2.1))/0.3)+log10(2000); ReC_surgeop=10^(log_ReC_surgeop); end end
  • 9. 7/3/12 2:53 PM C:UserskukrejankitDesktopCoursestribologys...code2.m 9 of 13 if NRe_pipe_surgeop<ReC_surgeop % If flow is laminar, frictional pressure loss gradient of pipe Lam_Pgrad_pipe_surgeop=K*(vbar_pipe_surgeop^n)*(((3+(1/n))/0.0416)^n)... /(144000*(d^(1+n))); % Pump pressure, Pp deltaPp_surgeop = L*Lam_Pgrad_pipe_surgeop end if NRe_ann_surgeop<ReC_surgeop % If flow is laminar, frictional pressure loss gradient of annulus Lam_Pgrad_ann_surgeop=K*(vbar_ann_surgeop^n)*(((2+(1/n))/0.0208)^n)/... (144000*((d2-d1)^(1+n))); % Annular pressure, Pa deltaPa_surgeop = L*Lam_Pgrad_ann_surgeop end % Calculation of friction factor of pipe, f_pipe f_pipe_surgeop = fsolve(@(f_pipe_surgeop)(sqrt(1/f_pipe_surgeop))-... ((4/(n^0.75))*log10(NRe_pipe_surgeop*(f_pipe_surgeop^... (1-(n/2)))))+(0.395/(n^1.2)),1); % Calculation of friction factor of annulus, f_ann f_ann_surgeop = fsolve(@(f_ann_surgeop)(sqrt(1/f_ann_surgeop))... -((4/(n^0.75))*log10(NRe_ann_surgeop*(f_ann_surgeop^... (1-(n/2)))))+(0.395/(n^1.2)),1); if NRe_pipe_surgeop>=ReC_surgeop % If flow is turbulent, frictional pressure loss gradient of pipe Tur_Pgrad_pipe_surgeop=(f_pipe_surgeop*rho*(vbar_pipe_surgeop^2))/(25.8*d); % Pump pressure, Pp deltaPp_surgeop = L*Tur_Pgrad_pipe_surgeop end if NRe_ann_surgeop>=ReC_surgeop % If flow is turbulent, frictional pressure loss gradient of annulus Tur_Pgrad_ann_surgeop=(f_ann_surgeop*rho*(vbar_ann_surgeop^2))/(21.1*(d2-d1)); % Annular pressure, Pa deltaPa_surgeop = L*Tur_Pgrad_ann_surgeop end disp('Calculating Equivalent Mud Weight for open pipe..') rho_o=rho+(231/(12*deltaPa_surgeop)) end if direction==2 disp('Calculating swab pressure for closed pipe..') % For closed pipe q_surgecp=vp*pi*(d1^2)/4; % Average velocity of pipe, vbar_pipe (ft/sec) vbar_pipe_surgecp=0; % Average velocity of annulus, vbar_ann (ft/sec) vbar_ann_surgecp=q_surgecp/(2.448*((d2^2)-(d1^2)))+(K_cp*vp); % Turbulence criteria of pipe, NRe_pipe NRe_pipe_surgecp=(89100*rho*(vbar_pipe_surgecp^(2-n))/K)*...
  • 10. 7/3/12 2:53 PM C:UserskukrejankitDesktopCoursestribologys...code2.m 10 of 13 ((0.0416*d/(3+(1/n)))^n); % Turbulence criteria of annulus, NRe_ann NRe_ann_surgecp=(109000*rho*(vbar_ann_surgecp^(2-n))/K)*((0.0208*(d2-d1)... /(2+(1/n)))^n); % Define critical Reynold number, ReC if n<=1 && n>=0.5 ReC_surgecp=2000; else if n<0.5 && n>=0.2 log_ReC_surgecp=((0.5-n)*(log10(2.1))/0.3)+log10(2000); ReC_surgecp=10^(log_ReC_surgecp); end end if NRe_pipe_surgecp<ReC_surgecp % If flow is laminar, frictional pressure loss gradient of pipe Lam_Pgrad_pipe_surgecp=K*(vbar_pipe_surgecp^n)*(((3+(1/n))/0.0416)^n)... /(144000*(d^(1+n))); % Pump pressure, Pp deltaPp_surgecp = L*Lam_Pgrad_pipe_surgecp end if NRe_ann_surgecp<ReC_surgecp % If flow is laminar, frictional pressure loss gradient of annulus Lam_Pgrad_ann_surgecp=K*(vbar_ann_surgecp^n)*(((2+(1/n))/0.0208)^n)/... (144000*((d2-d1)^(1+n))); % Annular pressure, Pa deltaPa_surgecp = L*Lam_Pgrad_ann_surgecp end % Calculation of friction factor of pipe, f_pipe f_pipe_surgecp = fsolve(@(f_pipe_surgecp)(sqrt(1/f_pipe_surgecp))-... ((4/(n^0.75))*log10(NRe_pipe_surgecp*(f_pipe_surgecp^... (1-(n/2)))))+(0.395/(n^1.2)),1); % Calculation of friction factor of annulus, f_ann f_ann_surgecp = fsolve(@(f_ann_surgecp)(sqrt(1/f_ann_surgecp))-((4/(n^0.75))*... log10(NRe_ann_surgecp*(f_ann_surgecp^(1-(n/2)))))+(0.395/(n^1.2)),1); if NRe_pipe_surgecp>=ReC_surgecp % If flow is turbulent, frictional pressure loss gradient of pipe Tur_Pgrad_pipe_surgecp=(f_pipe_surgecp*rho*(vbar_pipe_surgecp^2))/(25.8*d); % Pump pressure, Pp deltaPp_surgecp = L*Tur_Pgrad_pipe_surgecp end if NRe_ann_surgecp>=ReC_surgecp % If flow is turbulent, frictional pressure loss gradient of annulus Tur_Pgrad_ann_surgecp=(f_ann_surgecp*rho*(vbar_ann_surgecp^2))... /(21.1*(d2-d1)); % Annular pressure, Pa deltaPa_surgecp = L*Tur_Pgrad_ann_surgecp end disp('Calculating Equivalent Mud Weight for closed pipe..') rho_c=rho-(231/(12*deltaPa_surgecp)) disp('Calculating swab pressure for open pipe..') % For open pipe K_op1=1.2; K_op2=1.2; for fa=0:0.01:1
  • 11. 7/3/12 2:53 PM C:UserskukrejankitDesktopCoursestribologys...code2.m 11 of 13 qa_surgeop=fa*vp*((pi*(d1^2)/4)-Aeffopt); qp_surgeop=(1-fa)*vp*((pi*(d1^2)/4)-Aeffopt); % Average velocity of pipe, vbar_pipe (ft/sec) vbar_pipe_surgeop=qp_surgeop/(2.448*(d^2))+(K_op1*vp); % Average velocity of annulus, vbar_ann (ft/sec) vbar_ann_surgeop=qa_surgeop/(2.448*((d2^2)-(d1^2)))+(K_op2*vp); % Turbulence criteria of pipe, NRe_pipe NRe_pipe_surgeop=(89100*rho*(vbar_pipe_surgeop^(2-n))/K)*((0.0416*d... /(3+(1/n)))^n); % Turbulence criteria of annulus, NRe_ann NRe_ann_surgeop=(109000*rho*(vbar_ann_surgeop^(2-n))/K)*((0.0208*(d2-d1)... /(2+(1/n)))^n); % Define critical Reynold number, ReC if n<=1 && n>=0.5 ReC_surgeop=2000; else if n<0.5 && n>=0.2 log_ReC_surgeop=((0.5-n)*(log10(2.1))/0.3)+log10(2000); ReC_surgeop=10^(log_ReC_surgeop); end end if NRe_pipe_surgeop<ReC_surgeop % If flow is laminar, frictional pressure loss gradient of pipe Lam_Pgrad_pipe_surgeop=K*(vbar_pipe_surgeop^n)*(((3+(1/n))/0.0416)^n)... /(144000*(d^(1+n))); % Pump pressure, Pp deltaPp_surgeop = L*Lam_Pgrad_pipe_surgeop; end if NRe_ann_surgeop<ReC_surgeop % If flow is laminar, frictional pressure loss gradient of annulus Lam_Pgrad_ann_surgeop=K*(vbar_ann_surgeop^n)*(((2+(1/n))/0.0208)^n)/... (144000*((d2-d1)^(1+n))); % Annular pressure, Pa deltaPa_surgeop = L*Lam_Pgrad_ann_surgeop; end % Calculation of friction factor of pipe, f_pipe f_pipe_surgeop = fsolve(@(f_pipe_surgeop)(sqrt(1/f_pipe_surgeop))-... ((4/(n^0.75))*log10(NRe_pipe_surgeop*(f_pipe_surgeop^... (1-(n/2)))))+(0.395/(n^1.2)),1); % Calculation of friction factor of annulus, f_ann f_ann_surgeop = fsolve(@(f_ann_surgeop)(sqrt(1/f_ann_surgeop))-... ((4/(n^0.75))*log10(NRe_ann_surgeop*(f_ann_surgeop^... (1-(n/2)))))+(0.395/(n^1.2)),1); if NRe_pipe_surgeop>=ReC_surgeop % If flow is turbulent, frictional pressure loss gradient of pipe Tur_Pgrad_pipe_surgeop=(f_pipe_surgeop*rho*(vbar_pipe_surgeop^2))/(25.8*d); % Pump pressure, Pp deltaPp_surgeop = L*Tur_Pgrad_pipe_surgeop; end if NRe_ann_surgeop>=ReC_surgeop
  • 12. 7/3/12 2:53 PM C:UserskukrejankitDesktopCoursestribologys...code2.m 12 of 13 % If flow is turbulent, frictional pressure loss gradient of annulus Tur_Pgrad_ann_surgeop=(f_ann_surgeop*rho*(vbar_ann_surgeop^2))/(21.1*(d2-d1)); % Annular pressure, Pa deltaPa_surgeop = L*Tur_Pgrad_ann_surgeop; end if deltaPa_surgeop - deltaPp_surgeop <1 fa_final=fa; end end qa_surgeop=fa_final*vp*((pi*(d1^2)/4)-Aeffopt); qp_surgeop=(1-fa_final)*vp*((pi*(d1^2)/4)-Aeffopt); % Average velocity of pipe, vbar_pipe (ft/sec) vbar_pipe_surgeop=qp_surgeop/(2.448*(d^2))+(K_op1*vp); % Average velocity of annulus, vbar_ann (ft/sec) vbar_ann_surgeop=qa_surgeop/(2.448*((d2^2)-(d1^2)))+(K_op2*vp); % Turbulence criteria of pipe, NRe_pipe NRe_pipe_surgeop=(89100*rho*(vbar_pipe_surgeop^(2-n))/K)*((0.0416*d/... (3+(1/n)))^n); % Turbulence criteria of annulus, NRe_ann NRe_ann_surgeop=(109000*rho*(vbar_ann_surgeop^(2-n))/K)*((0.0208*(d2-d1)... /(2+(1/n)))^n); % Define critical Reynold number, ReC if n<=1 && n>=0.5 ReC_surgeop=2000; else if n<0.5 && n>=0.2 log_ReC_surgeop=((0.5-n)*(log10(2.1))/0.3)+log10(2000); ReC_surgeop=10^(log_ReC_surgeop); end end if NRe_pipe_surgeop<ReC_surgeop % If flow is laminar, frictional pressure loss gradient of pipe Lam_Pgrad_pipe_surgeop=K*(vbar_pipe_surgeop^n)*(((3+(1/n))/0.0416)^n)... /(144000*(d^(1+n))); % Pump pressure, Pp deltaPp_surgeop = L*Lam_Pgrad_pipe_surgeop end if NRe_ann_surgeop<ReC_surgeop % If flow is laminar, frictional pressure loss gradient of annulus Lam_Pgrad_ann_surgeop=K*(vbar_ann_surgeop^n)*(((2+(1/n))/0.0208)^n)/... (144000*((d2-d1)^(1+n))); % Annular pressure, Pa deltaPa_surgeop = L*Lam_Pgrad_ann_surgeop end % Calculation of friction factor of pipe, f_pipe f_pipe_surgeop = fsolve(@(f_pipe_surgeop)(sqrt(1/f_pipe_surgeop))-... ((4/(n^0.75))*log10(NRe_pipe_surgeop*(f_pipe_surgeop^(1-(n/2)))))... +(0.395/(n^1.2)),1); % Calculation of friction factor of annulus, f_ann f_ann_surgeop = fsolve(@(f_ann_surgeop)(sqrt(1/f_ann_surgeop))-... ((4/(n^0.75))*log10(NRe_ann_surgeop*(f_ann_surgeop^(1-(n/2)))))... +(0.395/(n^1.2)),1);
  • 13. 7/3/12 2:53 PM C:UserskukrejankitDesktopCoursestribologys...code2.m 13 of 13 if NRe_pipe_surgeop>=ReC_surgeop % If flow is turbulent, frictional pressure loss gradient of pipe Tur_Pgrad_pipe_surgeop=(f_pipe_surgeop*rho*(vbar_pipe_surgeop^2))/(25.8*d); % Pump pressure, Pp deltaPp_surgeop = L*Tur_Pgrad_pipe_surgeop end if NRe_ann_surgeop>=ReC_surgeop % If flow is turbulent, frictional pressure loss gradient of annulus Tur_Pgrad_ann_surgeop=(f_ann_surgeop*rho*(vbar_ann_surgeop^2))/(21.1*(d2-d1)); % Annular pressure, Pa deltaPa_surgeop = L*Tur_Pgrad_ann_surgeop end disp('Calculating Equivalent Mud Weight for open pipe..') rho_o=rho-(231/(12*deltaPa_surgeop)) end % End of code