-
Notifications
You must be signed in to change notification settings - Fork 3
/
Project_1_Main.asv
256 lines (237 loc) · 9.06 KB
/
Project_1_Main.asv
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
close all
clear all
clc
%Keep in mind there are two parts:
%1. When inserting a well, add the x,y location on line 13,14 with the
%BHP ratio inserted on line 14,15. Then change the rates on line 219.
global k phi
[para] = reservoir; %class to help clean up program
x = linspace(para.dx,para.L-para.dx/2,para.NX); y = linspace(para.dy,para.W-para.dy/2,para.NY); %for graphing
P = 3700*ones(para.N,1); BC = sparse(para.N,1); P_B = zeros(para.N,1);
well_location = [2500,4050]; q_well = [1000]; %multiple constant 'rate-wells' locations.
inj_well_locations = ceil(well_location(1)/para.dx)+floor(well_location(2)/para.dy)*para.NX; %which is 5050
x_loc_constBHP_well = [5536,5474,3600,2352,2000]; %2000 for 6th well
y_loc_constBHP_well = [3500,4708,4937,3322,5000]; %5000 for 6th well
P_constBHP_well = 2000*[1,1,1,1,1.025]; %1.025 for 6th well
BHP_well_locations = ceil(x_loc_constBHP_well/para.dx)+floor(y_loc_constBHP_well/para.dy)*para.NX;
BC(BHP_well_locations) = -1;
P_B(BHP_well_locations) = P_constBHP_well;
[T, B, Q, J] = TBQ_box_f(BC,P_B,inj_well_locations,q_well); %a box that spits out matrices T, B, Q
dt = 1; t = 0; t_end = 201; n = 1; inv = sparse(T+J+B/dt); %change
P_array = zeros(t_end/dt,para.N); elim_k = find(k<0.001); %change
while t < t_end
P_2 = P; P = inv\(B*P_2/dt+Q);
P(elim_k,:) = NaN;
P_array(n,:) = P;
t = t + dt; n = n + 1;
end
[Xx,Yy] = meshgrid(x,y); %Makes the meshgrid
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
P_days_plot2 = reshape(P_array(2,:),para.NX,para.NY);
P_days_plot2 = P_days_plot2';
P_days_plot10 = reshape(P_array(10,:),para.NX,para.NY);
P_days_plot10 = P_days_plot10';
P_plot20 = reshape(P_array(20,:),para.NX,para.NY);
P_plot20 = P_plot20';
P_days_plot100 = reshape(P_array(100,:),para.NX,para.NY);
P_days_plot100 = P_days_plot100';
%Figure 1%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
subplot(2,2,1),surf(Xx,Yy,P_days_plot2)
set(gca,'Ydir','reverse') %I did this because others told me my res. looked backward
colorbar
colormap jet
shading interp
xlabel('Reservoir Length (ft)','FontSize',14)
ylabel('Reservoir Width (ft)','FontSize',14)
zlabel('Res. Pressure (psi)','FontSize',14)
title ('t = 2 days','FontSize',20)
view (-35,75)
subplot(2,2,2),surf(Xx,Yy,P_days_plot10)
set(gca,'Ydir','reverse')
colorbar
colormap jet
shading interp
xlabel('Reservoir Length (ft)','FontSize',14)
ylabel('Reservoir Width (ft)','FontSize',14)
zlabel('Res. Pressure (psi)','FontSize',14)
title ('t = 10 days','FontSize',20)
view (-35,75)
subplot(2,2,3),surf(Xx,Yy,P_plot20)
set(gca,'Ydir','reverse')
colorbar
colormap jet
shading interp
xlabel('Reservoir Length (ft)','FontSize',14)
ylabel('Reservoir Width (ft)','FontSize',14)
zlabel('Res. Pressure (psi)','FontSize',14)
title ('t = 20 days','FontSize',20)
view (-35,75)
subplot(2,2,4),surf(Xx,Yy,P_days_plot100)
set(gca,'Ydir','reverse')
colorbar
colormap jet
shading interp
xlabel('Reservoir Length (ft)','FontSize',14)
ylabel('Reservoir Width (ft)','FontSize',14)
zlabel('Res. Pressure (psi)','FontSize',14)
title ('t = 100 days','FontSize',20)
view (-35,75)
figure %Figure 2 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
subplot(2,2,1),surf(Xx,Yy,P_days_plot2)
set(gca,'Ydir','reverse')
colorbar
colormap jet
shading interp
xlabel('Reservoir Length (ft)','FontSize',14)
ylabel('Reservoir Width (ft)','FontSize',14)
zlabel('Res. Pressure (psi)','FontSize',14)
title ('t = 2 days','FontSize',20)
view (-35,15)
subplot(2,2,2),surf(Xx,Yy,P_days_plot10)
set(gca,'Ydir','reverse')
colorbar
colormap jet
shading interp
xlabel('Reservoir Length (ft)','FontSize',14)
ylabel('Reservoir Width (ft)','FontSize',14)
zlabel('Res. Pressure (psi)','FontSize',14)
title ('t = 10 days','FontSize',20)
view (-35,15)
subplot(2,2,3),surf(Xx,Yy,P_plot20)
set(gca,'Ydir','reverse')
colorbar
colormap jet
shading interp
xlabel('Reservoir Length (ft)','FontSize',14)
ylabel('Reservoir Width (ft)','FontSize',14)
zlabel('Res. Pressure (psi)','FontSize',14)
title ('t = 20 days','FontSize',20)
view (-35,15)
subplot(2,2,4),surf(Xx,Yy,P_days_plot100)
set(gca,'Ydir','reverse')
colorbar
colormap jet
shading interp
xlabel('Reservoir Length (ft)','FontSize',14)
ylabel('Reservoir Width (ft)','FontSize',14)
zlabel('Res. Pressure (psi)','FontSize',14)
title ('t = 100 days','FontSize',20)
view (-35,15)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%CONTOUR MAP SECTION%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
figure %Figure 3 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
subplot(2,2,1),contourf(Xx,Yy,P_days_plot2)
set(gca,'Ydir','reverse')
colorbar
colormap jet
shading interp
xlabel('Reservoir Length (ft)','FontSize',14)
ylabel('Reservoir Width (ft)','FontSize',14)
zlabel('Res. Pressure (psi)','FontSize',14)
title ('t = 2 days','FontSize',20)
subplot(2,2,2),contourf(Xx,Yy,P_days_plot10)
set(gca,'Ydir','reverse')
colorbar
colormap jet
shading interp
xlabel('Reservoir Length (ft)','FontSize',14)
ylabel('Reservoir Width (ft)','FontSize',14)
zlabel('Res. Pressure (psi)','FontSize',14)
title ('t = 10 days','FontSize',20)
subplot(2,2,3),contourf(Xx,Yy,P_plot20)
set(gca,'Ydir','reverse')
colorbar
colormap jet
shading interp
xlabel('Reservoir Length (ft)','FontSize',14)
ylabel('Reservoir Width (ft)','FontSize',14)
zlabel('Res. Pressure (psi)','FontSize',14)
title ('t = 20 days','FontSize',20)
subplot(2,2,4),contourf(Xx,Yy,P_days_plot100)
set(gca,'Ydir','reverse')
colorbar
colormap jet
shading interp
xlabel('Reservoir Length (ft)','FontSize',14)
ylabel('Reservoir Width (ft)','FontSize',14)
zlabel('Res. Pressure (psi)','FontSize',14)
title ('t = 100 days','FontSize',20)
J_well1 = full(J(745,745));
J_well2 = full(J(1014,1014));
J3 = full(J(1000,1000));
J4 = full(J(666,666));
J5 = full(J(1042,1042));
P1_w1 = P_array(1:100,745);
P1_w2 = P_array(1:100,1014);
P1_w3 = P_array(1:100,1000);
P1_w4 = P_array(1:100,666);
P1_w5 = P_array(1:100,1042);
t = 1:100;
rate_w1 = J_well1*(P1_w1-P_constBHP_well(1))
rate_w2 = J_well2*(P1_w2-P_constBHP_well(2))
rate_w3 = J3*(P1_w3-P_constBHP_well(3))
rate_w4 = J4*(P1_w4-P_constBHP_well(4))
rate_w5 = J5*(P1_w5-P_constBHP_well(5))
figure %Figure 4%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
subplot(2,2,1),plot(t,rate_w1)
xlabel('Time (days)','FontSize',14)
ylabel('Well Rate (ft^3/day)','FontSize',14)
title('Producing Well #1','FontSize',14)
subplot(2,2,2),plot(t,rate_w2)
xlabel('Time (days)','FontSize',14)
ylabel('Well Rate (ft^3/day)','FontSize',14)
title('Producing Well #2','FontSize',14)
subplot(2,2,3),plot(t,rate_w3)
xlabel('Time (days)','FontSize',14)
ylabel('Well Rate (ft^3/day)','FontSize',14)
title('Producing Well #3','FontSize',14)
subplot(2,2,4),plot(t,rate_w4)
xlabel('Time (days)','FontSize',14)
ylabel('Well Rate (ft^3/day)','FontSize',14)
title('Producing Well #4','FontSize',14)
figure
plot(t,rate_w5)
xlabel('Time (days)','FontSize',14)
ylabel('Well Rate (ft^3/day)','FontSize',14)
title('Producing Well #5','FontSize',14)
figure %Figure 5 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
total_rate = rate_w1+rate_w2+rate_w3+rate_w4+rate_w5
J0 = 6.33e-3*2*pi*para.h*k(251)/(para.mu*para.Bw*log(4*(0.28*(para.dx^2+para.dy^2)^0.5/2)))
P1_w0 = P_array(1:100,251)
P_wf0 = P1_w0+q_well/J0
plot(t,P_wf0)
xlabel('Time (days)','FontSize',14)
ylabel('Res. Pressure (psi)','FontSize',14)
title('Injector Well #1','FontSize',20)
figure %Cumulative Production
Np_before = cumsum(total_rate)
plot(t,Np_before)
xlabel('Time (days)','FontSize',12)
ylabel('Cumulative Oil produced (STB)','FontSize',12)
title('Cumulative Oil Production vs. Time','FontSize',12)
%For project 1a plotting.
% P_plot50 = reshape(P_days(50,:),para.NX,para.NY);
% surf(I,J,P_plot50) %This is the 3-D plot of well pressure wrt res. dimensions
% colorbar
% xlabel('Reservoir Length (ft)','FontSize',14)
% ylabel('Reservoir Width (ft)','FontSize',14)
% zlabel('Reservoir Pressure(psi)','FontSize',14)
% title('3-D Pressure Visualization','FontSize',20)
%
% figure %This prints our the contour map of pressures over the well
% contourf(I,J,P_plot50)
% colorbar
% xlabel('Reservoir Length(ft)','FontSize',14)
% ylabel('Reservoir Width(ft)','FontSize',14)
% title('Reservoir Contour','FontSize',20)
%
% figure %This plots the final analytical and numerical reservoir pressure wrt length
% P_1 = P_days(1,:); P_10 = P_days(10,:); P_50 = P_days(50,:);
% P1=P_1(5001:5100); P10=P_10(5001:5100); P50=P_50(5001:5100);
% plot(x,P1,'r+',x,P_analytical(x-10000,1),'r-',x,P10,'b+',x,P_analytical(x-10000,10),'b-',x,P50,'k+',x,P_analytical(x-10000,50),'k-');
% xlabel('Reservoir Length(ft)','FontSize',14)
% ylabel('Reservoir Pressure(psi)','FontSize',14)
% title('Reservoir Pressure vs Reservoir Length (Numerical vs. Analytical)','FontSize',20)
% legend('t = 1 day','Analytical 1 day','t = 10 days','Analytical 10 days','t = 50days','Analytical 50 days')
%