Appendix I 259 Appendix I Fortran Program for Regional-Residual Separation by Finite Element Method C AG-BOUGUER,GN-REGIONAL,D-RESIDUAL C PROGRAM FOR SEPARATION OF REGIONAL & RESIDUAL USING FEM METHOD C PROGRAM NEEDS THE GRAVITY VALUES ALSO IN ADDITION TO THE A(I)& B(I)VALUES DIMENSION G(12),X(12),Y(12) DIMENSION A(200000),B(200000),GN(200000),AG(200000),D(200000) OPEN(UNIT=3,FILE=‘F1-8.DAT’, STATUS=‘OLD’) OPEN(UNIT=4,FILE=‘A1.DAT’, STATUS=‘NEW’) OPEN(UNIT=11,FILE=‘A2.DAT’, STATUS=‘NEW’) OPEN(UNIT=12,FILE=‘A3.DAT’, STATUS=‘NEW’) OPEN(UNIT=13,FILE=‘A4.DAT’, STATUS=‘NEW’) READ (3,*) N,NN WRITE (*,*)‘GIVE OUTPUT DATA FILE NAME AS UNIT 4’ WRITE (4,*)‘NUMBER OF NODES{A(I)& B(I)} AND DATA(8 or 12) POINTS’ WRITE (4,*)N,NN WRITE (4,*)‘INPUT VALUES X,Y,AND GRAVITY DATA’ DO 10 I=1,NN READ (3,*) X(I),Y(I),G(I) 10 WRITE (4,*) X(I),Y(I),G(I) WRITE (4,*)‘INPUT VALUES OF A(I) & B(I)’ DO 20 I=1,N READ (3,*) A(I),B(I),AG(I) 20 WRITE (4,*)A(I),B(I),AG(I) WRITE (4,*)‘OUTPUT X , Y , REGIONAL GRAVITY & RESIDUAL VALUES’ DO 100 I=1,N A1=1+A(I) A2=1-A(I) AA=1-A(I)*A(I) K. Mallick et al., Bouguer Gravity Regional and Residual Separation: Application to Geology 259 and Environment, DOI 10.1007/978-94-007-0406-0, © Capital Publishing Company 2012 260 Bouguer Gravity Regional and Residual Separation B1=1+B(I) B2=1-B(I) BB=1-B(I)*B(I) C1=(9*AA)/32 C2=(9*BB)/32 C3=(-10+9*(2-AA-BB))/32 AN1=0.25*A2*B2*(A2+B2-3) AN3=0.25*A1*B2*(B2-A2-1) AN5=0.25*A1*B1*(1-A2-B2) AN7=0.25*A2*B1*(A2-B2-1) AN2=0.5*AA*B2 AN6=0.5*AA*B1 AN4=0.5*BB*A1 AN8=0.5*BB*A2 T1=AN1*G(1)+AN2*G(2)+AN3*G(3)+AN4*G(4) GN(I)=T1+AN5*G(5)+AN6*G(6)+AN7*G(7)+AN8*G(8) T2=AN1*X(1)+AN2*X(2)+AN3*X(3)+AN4*X(4) A(I)=T2+AN5*X(5)+AN6*X(6)+AN7*X(7)+AN8*X(8) T3=AN1*Y(1)+AN2*Y(2)+AN3*Y(3)+AN4*Y(4) B(I)=T3+AN5*Y(5)+AN6*Y(6)+AN7*Y(7)+AN8*Y(8) D(I)=AG(I)-GN(I) WRITE (4,*) A(I),B(I),GN(I),D(I) 100 CONTINUE WRITE (*,*)‘GIVE THE FILE NAME FOR STORING GRAVITY VALUES’ WRITE (11,*)‘VALUES FOR X,Y AND THE MEASURED GRAVITY VALUES’ DO 101 I=1,N 101 WRITE (11,*)A(I),B(I),AG(I) WRITE (*,*)‘GIVE FILE NAME FOR STORING REGIONAL GRAVITY VALUES’ WRITE (12,*)‘VALUES FOR X,Y AND THE CALCULATED REGIONAL VALUES’ DO 102 I=1,N 102 WRITE (12,*)A(I),B(I),GN(I) WRITE (*,*)‘GIVE FILE NAME FOR STORING RESIDUAL GRAVITY VALUES’ WRITE (13,*)‘VALUES FOR X,Y AND THE RESIDUAL VALUES’ DO 103 I=1,N 103 WRITE (13,*)A(I),B(I),D(I) SUMAG2=0.0 SUMDAG=0.0 SUMGNAG=0.0 SUMAG=0.0 SUMDGN=0.0 Appendix I 261 SUMD2=0.0 SUMGN2=0.0 SUMD=0.0 SUMGN=0.0 DO 110 I=1,N SUMAG2=SUMAG2+AG(I)*AG(I) SUMDAG=SUMDAG+D(I)*AG(I) SUMGNAG=SUMGNAG+GN(I)*AG(I) SUMAG=SUMAG+AG(I) SUMDGN=SUMDGN+D(I)*GN(I) SUMD2=SUMD2+D(I)*D(I) SUMGN2=SUMGN2+GN(I)*GN(I) SUMD=SUMD+D(I) SUMGN=SUMGN+GN(I) 110 CONTINUE NR1=SUMGNAG-(SUMAG*SUMGN/N) DR1=(SUMGN2-(SUMGN*SUMGN/N))*(SUMAG2-(SUMAG*SUMAG/ N)) DR1=SQRT(DR1) R1=NR1/DR1 NR2=SUMDAG-(SUMD*SUMAG/N) DR2=(SUMD2-(SUMD*SUMD/N))*(SUMAG2-(SUMAG*SUMAG/N)) DR2=SQRT(DR2) R2=NR2/DR2 NR3=SUMDGN-(SUMD*SUMGN/N) DR3=(SUMD2-(SUMD*SUMD/N))*(SUMGN2-(SUMGN*SUMGN/N)) DR3=SQRT(DR3) R3=NR3/DR3 WRITE (*,*) ‘R BET. BOU-REG,BOU-RES, REG-RES=’ WRITE (*,*)R1,R2,R3 WRITE (4,*)‘R BET. BOU-REG,BOU-RES,REG-RES’ WRITE (4,*)R1,R2,R3 WRITE (4,*)‘VALUES OF BOUGUER REGIONAL RESIDUAL’ DO 111 I=1,N 111 WRITE (4,*)AG(I),GN(I),D(I) STOP END 262 Bouguer Gravity Regional and Residual Separation Appendix II C++ Program for Regional-Residual Separation by Finite Element Method /* C++ Program for separation of regional and residual using FEM method */ /* Program needs Gravity values in addition to A[i] & B[i] values */ #include<iostream.h> #include<fstream.h> #include<stdlib.h> #include<conio.h> #include<math.h> class gravity { int i,N,NN; float A1,A2,AA,B1,B2,BB,NR1,NR2,NR3; float AN1,AN2,AN3,AN4,AN5,AN6,AN7,AN8,T1,T2,T3; float X[8],Y[8],G[8],A[800],B[800],AG[800],GN[800],D[800]; float SUMDAG,SUMAG,SUMGN2,SUMGNAG,SUMGN,SUMAG2,SUMD,SUMD2,SUMDGN; double DR1,DR2,DR3,R1,R2,R3; public: void gcalc(); }; void gravity::gcalc() { ifstream fin; ofstream fout,fout1,fout2,fout3; /* Opening the file for reading */ 262 AppendixAppendix III 263 fin.open(“f1-8.DAT”); if(!fin) { cout<<“\n Cannot Open File!!!!”; } /* Creating output files A1,A2,A3,A4 */ fout.open(“8A1.DAT”); if(!fout) { cout<<“\n Cannot open [A1.DAT] File!!!!”; } fout1.open(“8A2.DAT”); if(!fout1) { cout<<“\n Cannot open [A2.DAT] File!!!!”; } fout2.open(“8A3.DAT”); if(!fout2) { cout<<“\n Cannot open [A3.DAT] File!!!!”; } fout3.open(“8A4.DAT”); if(!fout3) { cout<<“\n Cannot open [A4.DAT] File!!!!”; } fin>>N>>NN; cout<<“\n GIVE OUTPUT DATA FILE NAME AS UNIT 4”; fout<<“ NO OF NODES {A[i] & B[i]} AND DATA (8 OR 12) POINTS”; fout<<N<<“\t”<<NN; fout<<“\n INPUT VALUES X, Y AND GRAVITY DATA”; for(i=0;i<NN;i++) { fin>>X[i]>>Y[i]>>G[i]; fout<<“\n”<<X[i]<<“\t”<<Y[i]<<“\t”<<G[i]; } fout<<“\n INPUT VALUES OF A[i] AND B[i] and AG[i]”; for(i=0;i<N;i++) 264 Bouguer Gravity Regional and Residual Separation { fin>>A[i]>>B[i]>>AG[i]; fout<<“\n”<<A[i]<<“\t”<<B[i]<<“\t”<<AG[i]; } fout<<“\n OUTPUT X,Y, REGIONAL GRAVITY AND RESIDUAL VALUES”; /* Calculating Zeeta , Eeta Coefficients */ for(i=0;i<N;i++) { A1=1+A[i]; A2=1-A[i]; AA=1-A[i]*A[i]; B1=1+B[i]; B2=1-B[i]; BB=1-B[i]*B[i]; AN1=0.25*A2*B2*(A2+B2-3); AN3=0.25*A1*B2*(B2-A2-1); AN5=0.25*A1*B1*(1-A2-B2); AN7=0.25*A2*B1*(A2-B2-1); AN2=0.5*AA*B2; AN6=0.5*AA*B1; AN4=0.5*BB*A1; AN8=0.5*BB*A2; T1=AN1*G[0]+AN2*G[1]+AN3*G[2]+AN4*G[3]; GN[i]=T1+AN5*G[4]+AN6*G[5]+AN7*G[6]+AN8*G[7]; T2=AN1*X[0]+AN2*X[1]+AN3*X[2]+AN4*X[3]; A[i]=T2+AN5*X[4]+AN6*X[5]+AN7*X[6]+AN8*X[7]; T3=AN1*Y[0]+AN2*Y[1]+AN3*Y[2]+AN4*Y[3]; B[i]=T3+AN5*Y[4]+AN6*Y[5]+AN7*Y[6]+AN8*Y[7]; D[i]=AG[i]-GN[i]; // Calculating Residual values fout<<“\n”<<A[i]<<“\t”<<B[i]<<“\t”<<GN[i]<<“\t”<<D[i]; } cout<<“\n GIVE THE FILE NAME FOR STORING GRAVITY VALUES”; fout1<<“\n VALUES FOR X,Y AND MEASURED GRAVITY VALUES”; for(i=0;i<N;i++) { fout1<<“\n”<<A[i]<<“\t”<<B[i]<<“\t”<<AG[i]; } AppendixAppendix III 265 cout<<“\n GIVE FILE NAME FOR STORING REGIONAL GRAVITY VALUES”; fout2<<“\n VALUES FOR X,Y AND CALCULATED REGIONAL VALUES”; for(i=0;i<N;i++) { fout2<<“\n”<<A[i]<<“\t”<<B[i]<<“\t”<<GN[i]; } cout<<“\n GIVE FILE NAME FOR STORING RESIDUAL GRAVITY VALUES”; fout3<<“\n VALUES FOR X,Y AND RESIDUAL VALUES”; for(i=0;i<N;i++) { fout3<<“\n”<<A[i]<<“\t”<<B[i]<<“\t”<<D[i]; } /* Calculating the correlation coefficients */ SUMAG2=0.0; SUMDAG=0.0; SUMGNAG=0.0; SUMAG=0.0; SUMDGN=0.0; SUMD2=0.0; SUMGN2=0.0; SUMD=0.0; SUMGN=0.0; for(i=0;i<N;i++) { SUMAG2=SUMAG2+AG[i]*AG[i]; SUMDAG=SUMDAG+D[i]*AG[i]; SUMGNAG=SUMGNAG+GN[i]*AG[i]; SUMAG=SUMAG+AG[i]; SUMDGN=SUMDGN+D[i]*GN[i]; SUMD2=SUMD2+D[i]*D[i]; SUMGN2=SUMGN2+GN[i]*GN[i]; SUMD=SUMD+D[i]; SUMGN=SUMGN+GN[i]; } NR1=SUMGNAG-(SUMAG*SUMGN/N); DR1=(SUMGN2-(SUMGN*SUMGN/N))*(SUMAG2-(SUMAG*SUMAG/ 266 Bouguer Gravity Regional and Residual Separation N)); DR1=sqrt(DR1); R1=NR1/DR1; NR2=SUMDAG-(SUMD*SUMAG/N); DR2=(SUMD2-(SUMD*SUMD/N))*(SUMAG2-(SUMAG*SUMAG/N)); DR2=sqrt(DR2); R2=NR2/DR2; NR3=SUMDGN-(SUMD*SUMGN/N); DR3=(SUMD2-(SUMD*SUMD/N))*(SUMGN2-(SUMGN*SUMGN/N)); DR3=sqrt(DR3); R3=NR3/DR3; cout<<“\n”<<“ R BET, BOU-REG, BOU-RES, REG-RES”; cout<<“\n”<<R1<<“\t”<<R2<<“\t”<<R3; fout<<“\n R BET, BOU-REG, BOU-RES, REG-RES”; fout<<“\n”<<R1<<“\t”<<R2<<“\t”<<R3; fout<<“\n VALUES OF BOUGUER REGIONAL RESIDUAL”; for(i=0;i<=N;i++) { fout<<“\n”<<AG[i]<<“\t”<<GN[i]<<“\t”<<D[i]; } cout<<“\n PROGRAM TERMINATED”; getch(); fin.close(); fout.close(); fout1.close(); fout2.close(); fout3.close(); } /* end function gcalc*/ void main() { clrscr(); gravity gr; /* Creating Object of the class gravity */ gr.gcalc(); /* Calling the Calc function of the class gravity */ } /* end main */ References 267 References Abdoh, A., Cowan, D.