関数tws_set_MandFandT_tilt2 マニュアル

(The documentation of function tws_set_MandFandT_tilt2)

Last Update: 2021/12/8

◆機能・用途(Purpose)

大きさと向きで与えられた地震波動ソースを直交座標に沿った行列成分表記に変換する。相反定理を用いてボアホール型傾斜計用の傾斜変動を計算する場合用。
Convert the mechanism of a seismic wave source, given by the magnitude and orientation, to matrix representations based on a cartesian coordinate, for a calculation of tilt observed by a borehole-type tiltmeter using the reciprocity theorem.

◆形式(Format)

#include <tws/source.h>
inline void tws_set_MandFandT_tilt2
(const double intensity,const double phi,
struct matrix ∗M,struct columnvector ∗F, struct columnvector ∗T)

◆引数(Arguments)

intensity	計算時に与えるソースの強さ。 The intensity of the source given in the calculation.
phi	計算したい傾斜変動成分の方向と\(x\)軸のなす角(rad,反時計回り)。 Angle (rad) between the direction of tilt component to compute and the \(x\)-axis, measured counterclockwise.
M	計算したモーメントテンソル成分から成る行列の代入先。宣言しただけの構造体を渡す。関数内で\(3\times 3\)行列として動的メモリの確保と値の設定が行われる。モーメントテンソル成分\(M_{ij}\)が (∗M).main[i][j]に代入される。ここで\(i,j=0,1,2\)はそれぞれ\(x\), \(y\), \(z\)成分を表す。 A memory into which a matrix composed of the moment tensor components is inserted. Give a structure which is only declared (without setting the values). In the function, the dynamic memories for a \(3\times 3\) is allocated and the values are set. Each moment tensor component \(M_{ij}\) is inserted into (∗M).main[i][j]. Here, \(i,j=\) 0, 1, and 2 represent \(x\)-, \(y\)-, and \(z\)-components, respectively.
F	計算したシングルフォース成分から成る行列の代入先。宣言しただけの構造体を渡す。関数内で3成分の列ベクトルとして動的メモリの確保と値の設定が行われる。シングルフォース成分\(F_i\)が (∗F).main[i]に代入される。ここで\(i=0,1,2\)はそれぞれ\(x\), \(y\), \(z\)成分を表す。 A memory into which a matrix composed of the single force components is inserted. Give a structure which is only declared (without setting the values). In the function, the dynamic memories for a 3-component column vector is allocated and the values are set. Each single force component \(F_i\) is inserted into (∗F).main[i]. Here, \(i=\) 0, 1, and 2 represent \(x\)-, \(y\)-, and \(z\)-components, respectively.
T	傾斜変動を相反定理を用いて計算するために観測点の位置に置く仮想的なソース成分 ( 利用できるメカニズム一覧のtilt, tilt2の説明参照) から成る行列の代入先。宣言しただけの構造体を渡す。関数内で6成分の列ベクトルとして動的メモリの確保と値の設定が行われる。水管傾斜計用の仮想ソースの3成分\(T_i\)が(∗T).main[i]に、ボアホール型傾斜計用の仮想ソースの3成分\(T_{2i}\)が (∗T).main[i+3]に代入される。ここで\(i=0,1,2\)はそれぞれ\(x\), \(y\), \(z\)成分を表す。 A memory into which a matrix composed of virtual source components, exerted at the station location to compute tilt based on the reciprocity theorem (see the descriptions for tilt and tilt2 in List of mechanisms available), is inserted. Give a structure which is only declared (without setting the values). In the function, the dynamic memories for a 6-component column vector is allocated and the values are set. The three components of the virtual source for a water tube tiltmeter (\(T_i\)) are inserted into (∗T).main[i], and that for a borehole tiltmeter (\(T_{2i}\)) are inserted into (∗T).main[i+3]. Here, \(i=\) 0, 1, and 2 represent \(x\)-, \(y\)-, and \(z\)-components, respectively.

◆使用例(Example)

double intensity=1.0e+10;
double phi=30.0∗pi/180.0;
struct matrix M;
struct columnvector F;
struct columnvector T;
tws_set_MandFandT_tilt2(intensity,phi,&M,&F,&T);

◆代入される値(Values inserted)

以下で\(A\), \(\phi\)はそれぞれ引数intensity, phiの値を表す。
Below, \(A\) and \(\phi\) represent the values of arguments intensity and phi respectively.

代入先 Place to insert	代入先の意味 Meaning of the place to insert	代入される値 The value inserted
(∗)M.main[0][0]	\(M_{xx}\)	0.0
(∗)M.main[0][1]	\(M_{xy}\)	0.0
(∗)M.main[0][2]	\(M_{xz}\)	0.0
(∗)M.main[1][0]	\(M_{yx}\)	0.0
(∗)M.main[1][1]	\(M_{yy}\)	0.0
(∗)M.main[1][2]	\(M_{yz}\)	0.0
(∗)M.main[2][0]	\(M_{zx}\)	0.0
(∗)M.main[2][1]	\(M_{zy}\)	0.0
(∗)M.main[2][2]	\(M_{zz}\)	0.0
(∗)F.main[0]	\(F_{x}\)	0.0
(∗)F.main[1]	\(F_{y}\)	0.0
(∗)F.main[2]	\(F_{z}\)	0.0
(∗)T.main[0]	\(T_{x}\)	0.0
(∗)T.main[1]	\(T_{y}\)	0.0
(∗)T.main[2]	\(T_{z}\)	0.0
(∗)T.main[3]	\(T_{2x}\)	\(A\cos\phi\)
(∗)T.main[4]	\(T_{2y}\)	\(A\sin\phi\)
(∗)T.main[5]	\(T_{2z}\)	0.0